72257900 has 144 divisors (see below), whose sum is σ = 191321088. Its totient is φ = 23328000.

The previous prime is 72257851. The next prime is 72257909. The reversal of 72257900 is 975227.

It is a super-2 number, since 2×72257900² = 10442408224820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72257909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443219 + ... + 443381.

Almost surely, 2^72257900 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 72257900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95660544).

72257900 is an abundant number, since it is smaller than the sum of its proper divisors (119063188).

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

72257900 is a wasteful number, since it uses less digits than its factorization.

72257900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 72257900 is about 8500.4646931800. The cubic root of 72257900 is about 416.5128890306.

The spelling of 72257900 in words is "seventy-two million, two hundred fifty-seven thousand, nine hundred".