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72454074 = 23711253269
BaseRepresentation
bin1000101000110…
…00111110111010
312001100001022020
410110120332322
5122022012244
611104535310
71536564240
oct424307672
9161301266
1072454074
1137997900
1220321536
131201a844
1498a0790
156562d19
hex4518fba

72454074 has 96 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 18395520.

The previous prime is 72454061. The next prime is 72454079. The reversal of 72454074 is 47045427.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72454079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269212 + ... + 269480.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 272454074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72454074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93078720).

72454074 is an abundant number, since it is smaller than the sum of its proper divisors (113703366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72454074 is a wasteful number, since it uses less digits than its factorization.

72454074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 72454074 is about 8511.9958881569. The cubic root of 72454074 is about 416.8894806859.

The spelling of 72454074 in words is "seventy-two million, four hundred fifty-four thousand, seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 121 154 159 231 242 269 318 363 371 462 538 583 726 742 807 847 1113 1166 1614 1694 1749 1883 2226 2541 2959 3498 3766 4081 5082 5649 5918 6413 8162 8877 11298 12243 12826 14257 17754 19239 20713 24486 28514 32549 38478 41426 42771 44891 62139 65098 85542 89782 97647 99799 124278 134673 156827 195294 199598 227843 269346 299397 313654 455686 470481 598794 683529 940962 1097789 1367058 1725097 2195578 3293367 3450194 5175291 6586734 10350582 12075679 24151358 36227037 72454074