72250400 has 36 divisors (see below), whose sum is σ = 176383242. Its totient is φ = 28899840.

The previous prime is 72250361. The next prime is 72250403. The reversal of 72250400 is 405227.

It can be written as a sum of positive squares in 3 ways, for example, as 26173456 + 46076944 = 5116^2 + 6788^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (72250403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44357 + ... + 45956.

Almost surely, 2^72250400 is an apocalyptic number.

It is an amenable number.

72250400 is an abundant number, since it is smaller than the sum of its proper divisors (104132842).

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

72250400 is a wasteful number, since it uses less digits than its factorization.

72250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90333 (or 90320 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 72250400 is about 8500.0235293792. The cubic root of 72250400 is about 416.4984778970.

Adding to 72250400 its reverse (405227), we get a palindrome (72655627).

The spelling of 72250400 in words is "seventy-two million, two hundred fifty thousand, four hundred".