72567714240 has 896 divisors, whose sum is σ = 305482752000. Its totient is φ = 16202833920.

The previous prime is 72567714179. The next prime is 72567714269. The reversal of 72567714240 is 4241776527.

72567714240 is a `hidden beast` number, since 7 + 2 + 567 + 7 + 1 + 42 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139285180 + ... + 139285700.

Almost surely, 2^72567714240 is an apocalyptic number.

72567714240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72567714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152741376000).

72567714240 is an abundant number, since it is smaller than the sum of its proper divisors (232915037760).

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

72567714240 is a wasteful number, since it uses less digits than its factorization.

72567714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 585 counting only the distinct ones).

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

The spelling of 72567714240 in words is "seventy-two billion, five hundred sixty-seven million, seven hundred fourteen thousand, two hundred forty".