53972688 has 160 divisors (see below), whose sum is σ = 184273920. Its totient is φ = 13178880.

The previous prime is 53972663. The next prime is 53972689. The reversal of 53972688 is 88627935.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53972689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62403 + ... + 63261.

It is an arithmetic number, because the mean of its divisors is an integer number (1151712).

Almost surely, 2^53972688 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 53972688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92136960).

53972688 is an abundant number, since it is smaller than the sum of its proper divisors (130301232).

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

53972688 is a wasteful number, since it uses less digits than its factorization.

53972688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 53972688 is about 7346.6106470943. The cubic root of 53972688 is about 377.9125802152.

The spelling of 53972688 in words is "fifty-three million, nine hundred seventy-two thousand, six hundred eighty-eight".