72104406 has 32 divisors (see below), whose sum is σ = 159321600. Its totient is φ = 21571680.

The previous prime is 72104399. The next prime is 72104407. The reversal of 72104406 is 60440127.

It is a super-3 number, since 3×72104406³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72104407) 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, 1701 + ... + 12128.

It is an arithmetic number, because the mean of its divisors is an integer number (4978800).

Almost surely, 2^72104406 is an apocalyptic number.

72104406 is an abundant number, since it is smaller than the sum of its proper divisors (87217194).

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

72104406 is a wasteful number, since it uses less digits than its factorization.

72104406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13924.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72104406 is about 8491.4313281095. The cubic root of 72104406 is about 416.2177538169.

The spelling of 72104406 in words is "seventy-two million, one hundred four thousand, four hundred six".