52752960 has 168 divisors, whose sum is σ = 195544440. Its totient is φ = 12976128.

The previous prime is 52752923. The next prime is 52752971. The reversal of 52752960 is 6925725.

It can be written as a sum of positive squares in 4 ways, for example, as 2286144 + 50466816 = 1512^2 + 7104^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36736 + ... + 38144.

It is an arithmetic number, because the mean of its divisors is an integer number (1163955).

Almost surely, 2^52752960 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 52752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97772220).

52752960 is an abundant number, since it is smaller than the sum of its proper divisors (142791480).

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

52752960 is a wasteful number, since it uses less digits than its factorization.

52752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 52752960 is about 7263.1232951121. The cubic root of 52752960 is about 375.0440481592.

The spelling of 52752960 in words is "fifty-two million, seven hundred fifty-two thousand, nine hundred sixty".