59772 has 24 divisors (see below), whose sum is σ = 148176. Its totient is φ = 18688.

The previous prime is 59771. The next prime is 59779. The reversal of 59772 is 27795.

It is a happy number.

It is a d-powerful number, because it can be written as 5 + 9⁵ + 7³ + 7³ + 2⁵ .

Its product of digits (4410) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (6174).

2⁵⁹⁷⁷² 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 59772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74088).

59772 is an abundant number, since it is smaller than the sum of its proper divisors (88404).

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

59772 is a wasteful number, since it uses less digits than its factorization.

59772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 59772 is about 244.4831282522. The cubic root of 59772 is about 39.0990251434.

The spelling of 59772 in words is "fifty-nine thousand, seven hundred seventy-two".