52972920 has 512 divisors, whose sum is σ = 241920000. Its totient is φ = 10160640.

The previous prime is 52972891. The next prime is 52972921. The reversal of 52972920 is 2927925.

It is a super-2 number, since 2×52972920² = 5612260506652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52972921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4074834 + ... + 4074846.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 2^52972920 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 52972920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

52972920 is an abundant number, since it is smaller than the sum of its proper divisors (188947080).

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

52972920 is a wasteful number, since it uses less digits than its factorization.

52972920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 52972920 is about 7278.2497896129. The cubic root of 52972920 is about 375.5645895431.

52972920 divided by its sum of digits (36) gives a triangular number (1471470 = T₁₇₁₅).

The spelling of 52972920 in words is "fifty-two million, nine hundred seventy-two thousand, nine hundred twenty".