362827372272 has 160 divisors (see below), whose sum is σ = 999319968000. Its totient is φ = 113108244480.

The previous prime is 362827372169. The next prime is 362827372283. The reversal of 362827372272 is 272273728263.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56083854 + ... + 56090322.

It is an arithmetic number, because the mean of its divisors is an integer number (6245749800).

Almost surely, 2^362827372272 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 362827372272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499659984000).

362827372272 is an abundant number, since it is smaller than the sum of its proper divisors (636492595728).

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

362827372272 is a wasteful number, since it uses less digits than its factorization.

362827372272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7273 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 51.

The spelling of 362827372272 in words is "three hundred sixty-two billion, eight hundred twenty-seven million, three hundred seventy-two thousand, two hundred seventy-two".