53972160 has 224 divisors, whose sum is σ = 197510400. Its totient is φ = 12349440.

The previous prime is 53972153. The next prime is 53972167. The reversal of 53972160 is 6127935.

It is an interprime number because it is at equal distance from previous prime (53972153) and next prime (53972167).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53972167) 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, 200506 + ... + 200774.

Almost surely, 2^53972160 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 53972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98755200).

53972160 is an abundant number, since it is smaller than the sum of its proper divisors (143538240).

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

53972160 is a wasteful number, since it uses less digits than its factorization.

53972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 53972160 is about 7346.5747120682. The cubic root of 53972160 is about 377.9113478728.

It can be divided in two parts, 5397 and 2160, that added together give a palindrome (7557).

The spelling of 53972160 in words is "fifty-three million, nine hundred seventy-two thousand, one hundred sixty".