72731800 has 24 divisors (see below), whose sum is σ = 169101900. Its totient is φ = 29092640.

The previous prime is 72731777. The next prime is 72731801. The reversal of 72731800 is 813727.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72731801) 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, 181630 + ... + 182029.

Almost surely, 2^72731800 is an apocalyptic number.

It is an amenable number.

72731800 is an abundant number, since it is smaller than the sum of its proper divisors (96370100).

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

72731800 is a wasteful number, since it uses less digits than its factorization.

72731800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363675 (or 363666 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 72731800 is about 8528.2940849856. The cubic root of 72731800 is about 417.4214656206.

The spelling of 72731800 in words is "seventy-two million, seven hundred thirty-one thousand, eight hundred".