72993930 has 32 divisors (see below), whose sum is σ = 175608000. Its totient is φ = 19418112.

The previous prime is 72993929. The next prime is 72993931. The reversal of 72993930 is 3939927.

It is an interprime number because it is at equal distance from previous prime (72993929) and next prime (72993931).

It is a super-2 number, since 2×72993930² = 10656227633689800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72993931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10761 + ... + 16179.

It is an arithmetic number, because the mean of its divisors is an integer number (5487750).

Almost surely, 2^72993930 is an apocalyptic number.

72993930 is an abundant number, since it is smaller than the sum of its proper divisors (102614070).

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

72993930 is a wasteful number, since it uses less digits than its factorization.

72993930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878.

The product of its (nonzero) digits is 91854, while the sum is 42.

The square root of 72993930 is about 8543.6485180513. The cubic root of 72993930 is about 417.9223354865.

The spelling of 72993930 in words is "seventy-two million, nine hundred ninety-three thousand, nine hundred thirty".