72104688 has 40 divisors (see below), whose sum is σ = 206968400. Its totient is φ = 24034752.

The previous prime is 72104687. The next prime is 72104693. The reversal of 72104688 is 88640127.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72104687) 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, 83023 + ... + 83886.

It is an arithmetic number, because the mean of its divisors is an integer number (5174210).

Almost surely, 2^72104688 is an apocalyptic number.

It is an amenable number.

72104688 is an abundant number, since it is smaller than the sum of its proper divisors (134863712).

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

72104688 is a wasteful number, since it uses less digits than its factorization.

72104688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166926 (or 166914 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 72104688 is about 8491.4479330677. The cubic root of 72104688 is about 416.2182964247.

The spelling of 72104688 in words is "seventy-two million, one hundred four thousand, six hundred eighty-eight".