59792 has 20 divisors (see below), whose sum is σ = 120156. Its totient is φ = 28800.

The previous prime is 59791. The next prime is 59797. The reversal of 59792 is 29795.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 4096 = 236^2 + 64^2 .

It is a d-powerful number, because it can be written as 5 + 9³ + 7 + 9⁵ + 2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (59791) 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, 542 + ... + 642.

2⁵⁹⁷⁹² is an apocalyptic number.

It is an amenable number.

59792 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60078).

59792 is a wasteful number, since it uses less digits than its factorization.

59792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its digits is 5670, while the sum is 32.

The square root of 59792 is about 244.5240274492. The cubic root of 59792 is about 39.1033855647.

The spelling of 59792 in words is "fifty-nine thousand, seven hundred ninety-two".