72312367680 has 896 divisors, whose sum is σ = 305921664000. Its totient is φ = 15927238656.

The previous prime is 72312367669. The next prime is 72312367693. The reversal of 72312367680 is 8676321327.

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

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, 142067266 + ... + 142067774.

Almost surely, 2^72312367680 is an apocalyptic number.

72312367680 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 72312367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152960832000).

72312367680 is an abundant number, since it is smaller than the sum of its proper divisors (233609296320).

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

72312367680 is an equidigital number, since it uses as much as digits as its factorization.

72312367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 72312367680 in words is "seventy-two billion, three hundred twelve million, three hundred sixty-seven thousand, six hundred eighty".