72578674560 has 576 divisors, whose sum is σ = 284157389520. Its totient is φ = 15708930048.

The previous prime is 72578674529. The next prime is 72578674561. The reversal of 72578674560 is 6547687527.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 72578674560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72578674561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33961812 + ... + 33963948.

Almost surely, 2^72578674560 is an apocalyptic number.

72578674560 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 72578674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142078694760).

72578674560 is an abundant number, since it is smaller than the sum of its proper divisors (211578714960).

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

72578674560 is a wasteful number, since it uses less digits than its factorization.

72578674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 57.

The spelling of 72578674560 in words is "seventy-two billion, five hundred seventy-eight million, six hundred seventy-four thousand, five hundred sixty".