72400716 has 90 divisors (see below), whose sum is σ = 200078340. Its totient is φ = 22826448.

The previous prime is 72400709. The next prime is 72400721. The reversal of 72400716 is 61700427.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 72400716.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 116655 + ... + 117273.

Almost surely, 2^72400716 is an apocalyptic number.

72400716 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72400716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100039170).

72400716 is an abundant number, since it is smaller than the sum of its proper divisors (127677624).

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

72400716 is a wasteful number, since it uses less digits than its factorization.

72400716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72400716 is about 8508.8610283633. The cubic root of 72400716 is about 416.7871176742.

The spelling of 72400716 in words is "seventy-two million, four hundred thousand, seven hundred sixteen".