72665424 has 200 divisors, whose sum is σ = 239463840. Its totient is φ = 21088512.

The previous prime is 72665413. The next prime is 72665449. The reversal of 72665424 is 42456627.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319999 + ... + 320225.

Almost surely, 2^72665424 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 72665424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119731920).

72665424 is an abundant number, since it is smaller than the sum of its proper divisors (166798416).

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

72665424 is a wasteful number, since it uses less digits than its factorization.

72665424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 72665424 is about 8524.4016798835. The cubic root of 72665424 is about 417.2944455276.

The spelling of 72665424 in words is "seventy-two million, six hundred sixty-five thousand, four hundred twenty-four".