99972960 has 48 divisors (see below), whose sum is σ = 314916336. Its totient is φ = 26659328.

The previous prime is 99972913. The next prime is 99972967. The reversal of 99972960 is 6927999.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99972967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103659 + ... + 104618.

It is an arithmetic number, because the mean of its divisors is an integer number (6560757).

Almost surely, 2^99972960 is an apocalyptic number.

It is an amenable number.

99972960 is an abundant number, since it is smaller than the sum of its proper divisors (214943376).

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

99972960 is a wasteful number, since it uses less digits than its factorization.

99972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208295 (or 208287 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 51.

The square root of 99972960 is about 9998.6479085924. The cubic root of 99972960 is about 464.1170434025.

The spelling of 99972960 in words is "ninety-nine million, nine hundred seventy-two thousand, nine hundred sixty".