72057600 has 270 divisors, whose sum is σ = 268346540. Its totient is φ = 19077120.

The previous prime is 72057589. The next prime is 72057613. The reversal of 72057600 is 675027.

72057600 is a `hidden beast` number, since 7 + 2 + 0 + 57 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518331 + ... + 518469.

Almost surely, 2^72057600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134173270).

72057600 is an abundant number, since it is smaller than the sum of its proper divisors (196288940).

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

72057600 is a wasteful number, since it uses less digits than its factorization.

72057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72057600 is about 8488.6748082371. The cubic root of 72057600 is about 416.1276728440.

The spelling of 72057600 in words is "seventy-two million, fifty-seven thousand, six hundred".