72787680 has 384 divisors, whose sum is σ = 304819200. Its totient is φ = 15869952.

The previous prime is 72787679. The next prime is 72787699. The reversal of 72787680 is 8678727.

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 63 ways as a sum of consecutive naturals, for example, 876919 + ... + 877001.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^72787680 is an apocalyptic number.

72787680 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 72787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

72787680 is an abundant number, since it is smaller than the sum of its proper divisors (232031520).

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

72787680 is a wasteful number, since it uses less digits than its factorization.

72787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 72787680 is about 8531.5696093978. The cubic root of 72787680 is about 417.5283401944.

The spelling of 72787680 in words is "seventy-two million, seven hundred eighty-seven thousand, six hundred eighty".