72570400 has 72 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 24879360.

The previous prime is 72570389. The next prime is 72570403. The reversal of 72570400 is 407527.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (72570403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880 + ... + 12079.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^72570400 is an apocalyptic number.

72570400 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 72570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

72570400 is an abundant number, since it is smaller than the sum of its proper divisors (129916640).

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

72570400 is a wasteful number, since it uses less digits than its factorization.

72570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12986 (or 12973 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 72570400 is about 8518.8262102240. The cubic root of 72570400 is about 417.1124686331.

Adding to 72570400 its reverse (407527), we get a palindrome (72977927).

The spelling of 72570400 in words is "seventy-two million, five hundred seventy thousand, four hundred".