72168404 has 48 divisors (see below), whose sum is σ = 160465536. Its totient is φ = 27580800.

The previous prime is 72168377. The next prime is 72168407. The reversal of 72168404 is 40486127.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72168407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14114 + ... + 18534.

It is an arithmetic number, because the mean of its divisors is an integer number (3343032).

Almost surely, 2^72168404 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 72168404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80232768).

72168404 is an abundant number, since it is smaller than the sum of its proper divisors (88297132).

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

72168404 is a wasteful number, since it uses less digits than its factorization.

72168404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 72168404 is about 8495.1988793671. The cubic root of 72168404 is about 416.3408587623.

The spelling of 72168404 in words is "seventy-two million, one hundred sixty-eight thousand, four hundred four".