72083872 has 48 divisors (see below), whose sum is σ = 170735040. Its totient is φ = 29265408.

The previous prime is 72083857. The next prime is 72083887. The reversal of 72083872 is 27838027.

It is an interprime number because it is at equal distance from previous prime (72083857) and next prime (72083887).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4213 + ... + 12724.

It is an arithmetic number, because the mean of its divisors is an integer number (3556980).

Almost surely, 2^72083872 is an apocalyptic number.

It is an amenable number.

72083872 is an abundant number, since it is smaller than the sum of its proper divisors (98651168).

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

72083872 is a wasteful number, since it uses less digits than its factorization.

72083872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16973 (or 16965 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 72083872 is about 8490.2221407923. Note that the first 3 decimals coincide. The cubic root of 72083872 is about 416.1782396953.

The spelling of 72083872 in words is "seventy-two million, eighty-three thousand, eight hundred seventy-two".