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72228270 = 23529611361
BaseRepresentation
bin1000100111000…
…01110110101110
312000220120120010
410103201312232
5121442301040
611100034050
71534634022
oct423416656
9160816503
1072228270
1137853194
1220232926
1311c6bb2a
149842382
15651ae80
hex44e1dae

72228270 has 64 divisors (see below), whose sum is σ = 182399040. Its totient is φ = 18278400.

The previous prime is 72228263. The next prime is 72228271. The reversal of 72228270 is 7282227.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72228271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52390 + ... + 53750.

It is an arithmetic number, because the mean of its divisors is an integer number (2849985).

Almost surely, 272228270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72228270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91199520).

72228270 is an abundant number, since it is smaller than the sum of its proper divisors (110170770).

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

72228270 is a wasteful number, since it uses less digits than its factorization.

72228270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461.

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 72228270 is about 8498.7216685805. The cubic root of 72228270 is about 416.4559496317.

The spelling of 72228270 in words is "seventy-two million, two hundred twenty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 61 87 122 145 174 183 290 305 366 435 610 870 915 1361 1769 1830 2722 3538 4083 5307 6805 8166 8845 10614 13610 17690 20415 26535 39469 40830 53070 78938 83021 118407 166042 197345 236814 249063 394690 415105 498126 592035 830210 1184070 1245315 2407609 2490630 4815218 7222827 12038045 14445654 24076090 36114135 72228270