59056272 has 120 divisors (see below), whose sum is σ = 188255808. Its totient is φ = 17107200.

The previous prime is 59056229. The next prime is 59056273. The reversal of 59056272 is 27265095.

59056272 is a `hidden beast` number, since 5 + 90 + 562 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (59056273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35622 + ... + 37242.

Almost surely, 2^59056272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59056272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94127904).

59056272 is an abundant number, since it is smaller than the sum of its proper divisors (129199536).

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

59056272 is a wasteful number, since it uses less digits than its factorization.

59056272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 59056272 is about 7684.8078700772. The cubic root of 59056272 is about 389.4233687542.

The spelling of 59056272 in words is "fifty-nine million, fifty-six thousand, two hundred seventy-two".