72364404 has 48 divisors (see below), whose sum is σ = 193995648. Its totient is φ = 20565888.

The previous prime is 72364381. The next prime is 72364429. The reversal of 72364404 is 40446327.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14362 + ... + 18734.

It is an arithmetic number, because the mean of its divisors is an integer number (4041576).

Almost surely, 2^72364404 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 72364404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96997824).

72364404 is an abundant number, since it is smaller than the sum of its proper divisors (121631244).

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

72364404 is a wasteful number, since it uses less digits than its factorization.

72364404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 72364404 is about 8506.7269851571. The cubic root of 72364404 is about 416.7174272736.

The spelling of 72364404 in words is "seventy-two million, three hundred sixty-four thousand, four hundred four".