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72059464 = 23171094861
BaseRepresentation
bin1000100101110…
…00101001001000
312000121000000001
410102320221020
5121421400324
611052252344
71533331621
oct422705110
9160530001
1072059464
1137748384
12201710b4
1311c10049
1497daa48
1564d5e44
hex44b8a48

72059464 has 32 divisors (see below), whose sum is σ = 144401400. Its totient is φ = 33592320.

The previous prime is 72059423. The next prime is 72059467. The reversal of 72059464 is 46495027.

It can be written as a sum of positive squares in 4 ways, for example, as 71267364 + 792100 = 8442^2 + 890^2 .

It is not an unprimeable number, because it can be changed into a prime (72059467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12394 + ... + 17254.

Almost surely, 272059464 is an apocalyptic number.

It is an amenable number.

72059464 is an abundant number, since it is smaller than the sum of its proper divisors (72341936).

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

72059464 is a wasteful number, since it uses less digits than its factorization.

72059464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 72059464 is about 8488.7846008719. The cubic root of 72059464 is about 416.1312609702.

The spelling of 72059464 in words is "seventy-two million, fifty-nine thousand, four hundred sixty-four".

Divisors: 1 2 4 8 17 34 68 109 136 218 436 872 1853 3706 4861 7412 9722 14824 19444 38888 82637 165274 330548 529849 661096 1059698 2119396 4238792 9007433 18014866 36029732 72059464