368592972 has 48 divisors (see below), whose sum is σ = 945033600. Its totient is φ = 110885760.

The previous prime is 368592967. The next prime is 368592977. The reversal of 368592972 is 279295863.

It is an interprime number because it is at equal distance from previous prime (368592967) and next prime (368592977).

It is not an unprimeable number, because it can be changed into a prime (368592977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8304 + ... + 28392.

It is an arithmetic number, because the mean of its divisors is an integer number (19688200).

Almost surely, 2^368592972 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 368592972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472516800).

368592972 is an abundant number, since it is smaller than the sum of its proper divisors (576440628).

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

368592972 is a wasteful number, since it uses less digits than its factorization.

368592972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20246 (or 20244 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 368592972 is about 19198.7752734387. The cubic root of 368592972 is about 716.9942674837.

The spelling of 368592972 in words is "three hundred sixty-eight million, five hundred ninety-two thousand, nine hundred seventy-two".