93972312 has 80 divisors (see below), whose sum is σ = 300825360. Its totient is φ = 26847936.

The previous prime is 93972293. The next prime is 93972313. The reversal of 93972312 is 21327939.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93972313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5823 + ... + 14894.

It is an arithmetic number, because the mean of its divisors is an integer number (3760317).

Almost surely, 2^93972312 is an apocalyptic number.

It is an amenable number.

93972312 is an abundant number, since it is smaller than the sum of its proper divisors (206853048).

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

93972312 is a wasteful number, since it uses less digits than its factorization.

93972312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20742 (or 20729 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 93972312 is about 9693.9317100958. The cubic root of 93972312 is about 454.6389471591.

The spelling of 93972312 in words is "ninety-three million, nine hundred seventy-two thousand, three hundred twelve".