72716600 has 48 divisors (see below), whose sum is σ = 184441320. Its totient is φ = 26441600.

The previous prime is 72716597. The next prime is 72716603. The reversal of 72716600 is 661727.

It is an interprime number because it is at equal distance from previous prime (72716597) and next prime (72716603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72716603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14327 + ... + 18726.

Almost surely, 2^72716600 is an apocalyptic number.

It is an amenable number.

72716600 is an abundant number, since it is smaller than the sum of its proper divisors (111724720).

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

72716600 is a wasteful number, since it uses less digits than its factorization.

72716600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33080 (or 33071 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 72716600 is about 8527.4028871632. The cubic root of 72716600 is about 417.3923850427.

The spelling of 72716600 in words is "seventy-two million, seven hundred sixteen thousand, six hundred".