364968072 has 96 divisors (see below), whose sum is σ = 1179352800. Its totient is φ = 104273568.

The previous prime is 364968049. The next prime is 364968073. The reversal of 364968072 is 270869463.

It is not an unprimeable number, because it can be changed into a prime (364968073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6658 + ... + 27825.

It is an arithmetic number, because the mean of its divisors is an integer number (12284925).

Almost surely, 2^364968072 is an apocalyptic number.

It is an amenable number.

364968072 is an abundant number, since it is smaller than the sum of its proper divisors (814384728).

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

364968072 is a wasteful number, since it uses less digits than its factorization.

364968072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34512 (or 34495 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 364968072 is about 19104.1375623188. The cubic root of 364968072 is about 714.6361113131.

The spelling of 364968072 in words is "three hundred sixty-four million, nine hundred sixty-eight thousand, seventy-two".