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72042481 = 7173159331
BaseRepresentation
bin1000100101101…
…00011111110001
312000120010201001
410102310133301
5121420324411
611052042001
71533231250
oct422643761
9160503631
1072042481
1137736645
1220163301
1311c053b4
1497d4797
1564d0dc1
hex44b47f1

72042481 has 32 divisors (see below), whose sum is σ = 91791360. Its totient is φ = 55123200.

The previous prime is 72042479. The next prime is 72042491. The reversal of 72042481 is 18424027.

It is a cyclic number.

It is not a de Polignac number, because 72042481 - 21 = 72042479 is a prime.

It is a super-2 number, since 2×720424812 = 10380238137270722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72042431) 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, 217486 + ... + 217816.

It is an arithmetic number, because the mean of its divisors is an integer number (2868480).

Almost surely, 272042481 is an apocalyptic number.

It is an amenable number.

72042481 is a deficient number, since it is larger than the sum of its proper divisors (19748879).

72042481 is a wasteful number, since it uses less digits than its factorization.

72042481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445.

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 72042481 is about 8487.7842220452. The cubic root of 72042481 is about 416.0985670807.

The spelling of 72042481 in words is "seventy-two million, forty-two thousand, four hundred eighty-one".

Divisors: 1 7 17 31 59 119 217 331 413 527 1003 1829 2317 3689 5627 7021 10261 12803 19529 31093 39389 71827 136703 174437 217651 331993 605399 1221059 2323951 4237793 10291783 72042481