72708192 has 60 divisors (see below), whose sum is σ = 213840396. Its totient is φ = 24235200.

The previous prime is 72708179. The next prime is 72708197. The reversal of 72708192 is 29180727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72708197) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11434 + ... + 16617.

Almost surely, 2^72708192 is an apocalyptic number.

72708192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72708192 is an abundant number, since it is smaller than the sum of its proper divisors (141132204).

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

72708192 is a wasteful number, since it uses less digits than its factorization.

72708192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28073 (or 28056 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72708192 is about 8526.9098740400. The cubic root of 72708192 is about 417.3762971506.

It can be divided in two parts, 72708 and 192, that added together give a square (72900 = 270²).

The spelling of 72708192 in words is "seventy-two million, seven hundred eight thousand, one hundred ninety-two".