72665700 has 108 divisors (see below), whose sum is σ = 216892368. Its totient is φ = 18782400.

The previous prime is 72665699. The next prime is 72665771. The reversal of 72665700 is 756627.

It is a super-3 number, since 3×72665700³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 554635 + ... + 554765.

Almost surely, 2^72665700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72665700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108446184).

72665700 is an abundant number, since it is smaller than the sum of its proper divisors (144226668).

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

72665700 is a wasteful number, since it uses less digits than its factorization.

72665700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 72665700 is about 8524.4178686876. The cubic root of 72665700 is about 417.2949738537.

The spelling of 72665700 in words is "seventy-two million, six hundred sixty-five thousand, seven hundred".