72570880 has 96 divisors (see below), whose sum is σ = 183783600. Its totient is φ = 27426816.

The previous prime is 72570871. The next prime is 72570881. The reversal of 72570880 is 8807527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72570881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194374 + ... + 194746.

Almost surely, 2^72570880 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 72570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91891800).

72570880 is an abundant number, since it is smaller than the sum of its proper divisors (111212720).

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

72570880 is a wasteful number, since it uses less digits than its factorization.

72570880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 72570880 is about 8518.8543830729. The cubic root of 72570880 is about 417.1133882622.

The spelling of 72570880 in words is "seventy-two million, five hundred seventy thousand, eight hundred eighty".