72774261504 has 432 divisors, whose sum is σ = 254908809792. Its totient is φ = 19492503552.

The previous prime is 72774261499. The next prime is 72774261509. The reversal of 72774261504 is 40516247727.

72774261504 is a `hidden beast` number, since 7 + 2 + 77 + 426 + 150 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (72774261499) and next prime (72774261509).

It is a self number, because there is not a number n which added to its sum of digits gives 72774261504.

It is not an unprimeable number, because it can be changed into a prime (72774261509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118717902 + ... + 118718514.

Almost surely, 2^72774261504 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 72774261504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127454404896).

72774261504 is an abundant number, since it is smaller than the sum of its proper divisors (182134548288).

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

72774261504 is a wasteful number, since it uses less digits than its factorization.

72774261504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 72774261504 in words is "seventy-two billion, seven hundred seventy-four million, two hundred sixty-one thousand, five hundred four".