52975072 has 48 divisors (see below), whose sum is σ = 109734912. Its totient is φ = 25125760.

The previous prime is 52975051. The next prime is 52975081. The reversal of 52975072 is 27057925.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122697 + ... + 123127.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 2^52975072 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 52975072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867456).

52975072 is an abundant number, since it is smaller than the sum of its proper divisors (56759840).

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

52975072 is a wasteful number, since it uses less digits than its factorization.

52975072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 52975072 is about 7278.3976258514. The cubic root of 52975072 is about 375.5696751860.

The spelling of 52975072 in words is "fifty-two million, nine hundred seventy-five thousand, seventy-two".