59040072 has 96 divisors (see below), whose sum is σ = 196822080. Its totient is φ = 15569280.

The previous prime is 59040071. The next prime is 59040101. The reversal of 59040072 is 27004095.

59040072 is a `hidden beast` number, since 590 + 4 + 0 + 0 + 72 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (59040071) 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, 2047 + ... + 11057.

It is an arithmetic number, because the mean of its divisors is an integer number (2050230).

Almost surely, 2^59040072 is an apocalyptic number.

59040072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59040072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98411040).

59040072 is an abundant number, since it is smaller than the sum of its proper divisors (137782008).

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

59040072 is a wasteful number, since it uses less digits than its factorization.

59040072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9043 (or 9036 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 59040072 is about 7683.7537701308. The cubic root of 59040072 is about 389.3877573206.

The spelling of 59040072 in words is "fifty-nine million, forty thousand, seventy-two".