53772 has 12 divisors (see below), whose sum is σ = 125496. Its totient is φ = 17920.

The previous prime is 53759. The next prime is 53773. The reversal of 53772 is 27735.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 5⁵ + 3⁶ + 7³ + 7⁵ + 2¹⁵ .

It is not an unprimeable number, because it can be changed into a prime (53773) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2229 + ... + 2252.

It is an arithmetic number, because the mean of its divisors is an integer number (10458).

2⁵³⁷⁷² is an apocalyptic number.

It is an amenable number.

53772 is an abundant number, since it is smaller than the sum of its proper divisors (71724).

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 (62748).

53772 is a wasteful number, since it uses less digits than its factorization.

53772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4486 counting only the distinct ones).

The product of its digits is 1470, while the sum is 24.

The square root of 53772 is about 231.8879039536. The cubic root of 53772 is about 37.7443597848.

The spelling of 53772 in words is "fifty-three thousand, seven hundred seventy-two".