93952872 has 160 divisors (see below), whose sum is σ = 298821600. Its totient is φ = 27340416.

The previous prime is 93952867. The next prime is 93952921. The reversal of 93952872 is 27825939.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159763 + ... + 160349.

It is an arithmetic number, because the mean of its divisors is an integer number (1867635).

Almost surely, 2^93952872 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 93952872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149410800).

93952872 is an abundant number, since it is smaller than the sum of its proper divisors (204868728).

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

93952872 is a wasteful number, since it uses less digits than its factorization.

93952872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 624 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 93952872 is about 9692.9289690991. The cubic root of 93952872 is about 454.6075946948.

The spelling of 93952872 in words is "ninety-three million, nine hundred fifty-two thousand, eight hundred seventy-two".