72477568800 has 1728 divisors, whose sum is σ = 346824301824. Its totient is φ = 14332723200.

The previous prime is 72477568799. The next prime is 72477568811. The reversal of 72477568800 is 886577427.

It is a happy number.

72477568800 is a `hidden beast` number, since 7 + 2 + 4 + 77 + 568 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 300736680 + ... + 300736920.

It is an arithmetic number, because the mean of its divisors is an integer number (200708508).

Almost surely, 2^72477568800 is an apocalyptic number.

72477568800 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 72477568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173412150912).

72477568800 is an abundant number, since it is smaller than the sum of its proper divisors (274346733024).

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

72477568800 is a wasteful number, since it uses less digits than its factorization.

72477568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 72477568800 in words is "seventy-two billion, four hundred seventy-seven million, five hundred sixty-eight thousand, eight hundred".