59072 has 28 divisors (see below), whose sum is σ = 128016. Its totient is φ = 26880.

The previous prime is 59069. The next prime is 59077. The reversal of 59072 is 27095.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59072.

It is not an unprimeable number, because it can be changed into a prime (59077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 797 + ... + 867.

It is an arithmetic number, because the mean of its divisors is an integer number (4572).

2⁵⁹⁰⁷² is an apocalyptic number.

59072 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 59072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008).

59072 is an abundant number, since it is smaller than the sum of its proper divisors (68944).

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

59072 is a wasteful number, since it uses less digits than its factorization.

59072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 59072 is about 243.0473204954. The cubic root of 59072 is about 38.9457936390.

Adding to 59072 its sum of digits (23), we get a palindrome (59095).

Subtracting from 59072 its sum of digits (23), we obtain a 10-th power (59049 = 3¹⁰).

The spelling of 59072 in words is "fifty-nine thousand, seventy-two".