53972256 has 96 divisors (see below), whose sum is σ = 155373120. Its totient is φ = 16303104.

The previous prime is 53972249. The next prime is 53972273. The reversal of 53972256 is 65227935.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (113400) is a multiple of the sum of its prime divisors (810).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73266 + ... + 73998.

It is an arithmetic number, because the mean of its divisors is an integer number (1618470).

Almost surely, 2^53972256 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 53972256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77686560).

53972256 is an abundant number, since it is smaller than the sum of its proper divisors (101400864).

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

53972256 is a wasteful number, since it uses less digits than its factorization.

53972256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 53972256 is about 7346.5812457224. The cubic root of 53972256 is about 377.9115719356.

The spelling of 53972256 in words is "fifty-three million, nine hundred seventy-two thousand, two hundred fifty-six".