72707491584 has 432 divisors, whose sum is σ = 258890783424. Its totient is φ = 19110297600.

The previous prime is 72707491579. The next prime is 72707491589. The reversal of 72707491584 is 48519470727.

72707491584 is a `hidden beast` number, since 7 + 2 + 70 + 7 + 491 + 5 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (72707491579) and next prime (72707491589).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72707491584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72707491589) 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, 113427904 + ... + 113428544.

Almost surely, 2^72707491584 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 72707491584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129445391712).

72707491584 is an abundant number, since it is smaller than the sum of its proper divisors (186183291840).

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

72707491584 is a wasteful number, since it uses less digits than its factorization.

72707491584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 72707491584 in words is "seventy-two billion, seven hundred seven million, four hundred ninety-one thousand, five hundred eighty-four".