72238862772 has 120 divisors (see below), whose sum is σ = 198562785960. Its totient is φ = 22867971840.

The previous prime is 72238862767. The next prime is 72238862791. The reversal of 72238862772 is 27726883227.

72238862772 is a `hidden beast` number, since 7 + 2 + 2 + 3 + 8 + 8 + 627 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 712569636 + 71526293136 = 26694^2 + 267444^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 510138 + ... + 636174.

It is an arithmetic number, because the mean of its divisors is an integer number (1654689883).

Almost surely, 2^72238862772 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 72238862772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99281392980).

72238862772 is an abundant number, since it is smaller than the sum of its proper divisors (126323923188).

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

72238862772 is a wasteful number, since it uses less digits than its factorization.

72238862772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126143 (or 126132 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The spelling of 72238862772 in words is "seventy-two billion, two hundred thirty-eight million, eight hundred sixty-two thousand, seven hundred seventy-two".