59292 has 36 divisors (see below), whose sum is σ = 157976. Its totient is φ = 19440.

The previous prime is 59281. The next prime is 59333. The reversal of 59292 is 29295.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

59292 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 942 + ... + 1002.

2⁵⁹²⁹² is an apocalyptic number.

It is a pronic number, being equal to 243×244.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78988).

59292 is an abundant number, since it is smaller than the sum of its proper divisors (98684).

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

59292 is a wasteful number, since it uses less digits than its factorization.

59292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 59292 is about 243.4994866524. The cubic root of 59292 is about 38.9940819422.

Adding to 59292 its sum of digits (27), we get a cube (59319 = 39³).

It can be divided in two parts, 59 and 292, that added together give a triangular number (351 = T₂₆).

The spelling of 59292 in words is "fifty-nine thousand, two hundred ninety-two".