72293900 has 72 divisors (see below), whose sum is σ = 180821760. Its totient is φ = 24575040.

The previous prime is 72293873. The next prime is 72293951. The reversal of 72293900 is 939227.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96929 + ... + 97671.

Almost surely, 2^72293900 is an apocalyptic number.

72293900 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 72293900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90410880).

72293900 is an abundant number, since it is smaller than the sum of its proper divisors (108527860).

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

72293900 is a wasteful number, since it uses less digits than its factorization.

72293900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 72293900 is about 8502.5819607929. The cubic root of 72293900 is about 416.5820485944.

The spelling of 72293900 in words is "seventy-two million, two hundred ninety-three thousand, nine hundred".