72260400 has 60 divisors (see below), whose sum is σ = 231477992. Its totient is φ = 19269120.

The previous prime is 72260393. The next prime is 72260423. The reversal of 72260400 is 406227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28909 + ... + 31308.

Almost surely, 2^72260400 is an apocalyptic number.

It is an amenable number.

72260400 is an abundant number, since it is smaller than the sum of its proper divisors (159217592).

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

72260400 is a wasteful number, since it uses less digits than its factorization.

72260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60238 (or 60227 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72260400 is about 8500.6117426924. The cubic root of 72260400 is about 416.5176925202.

Adding to 72260400 its reverse (406227), we get a palindrome (72666627).

The spelling of 72260400 in words is "seventy-two million, two hundred sixty thousand, four hundred".