72700416 has 100 divisors (see below), whose sum is σ = 217115382. Its totient is φ = 24219648.

The previous prime is 72700409. The next prime is 72700429. The reversal of 72700416 is 61400727.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 518400 = 8496^2 + 720^2 .

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 72700416.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40596 + ... + 42348.

Almost surely, 2^72700416 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 72700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108557691).

72700416 is an abundant number, since it is smaller than the sum of its proper divisors (144414966).

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

72700416 is an equidigital number, since it uses as much as digits as its factorization.

72700416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1758 counting only the distinct ones).

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

The square root of 72700416 is about 8526.4538936184. The cubic root of 72700416 is about 417.3614174252.

The spelling of 72700416 in words is "seventy-two million, seven hundred thousand, four hundred sixteen".