72404736 has 72 divisors (see below), whose sum is σ = 201129600. Its totient is φ = 23079936.

The previous prime is 72404723. The next prime is 72404737. The reversal of 72404736 is 63740427.

It is a junction number, because it is equal to n+sod(n) for n = 72404697 and 72404706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72404737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15615 + ... + 19713.

Almost surely, 2^72404736 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 72404736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100564800).

72404736 is an abundant number, since it is smaller than the sum of its proper divisors (128724864).

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

72404736 is a wasteful number, since it uses less digits than its factorization.

72404736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 72404736 is about 8509.0972494149. The cubic root of 72404736 is about 416.7948314708.

The spelling of 72404736 in words is "seventy-two million, four hundred four thousand, seven hundred thirty-six".