72068904 has 48 divisors (see below), whose sum is σ = 196216020. Its totient is φ = 23896320.

The previous prime is 72068897. The next prime is 72068911. The reversal of 72068904 is 40986027.

It is an interprime number because it is at equal distance from previous prime (72068897) and next prime (72068911).

It can be written as a sum of positive squares in 2 ways, for example, as 71064900 + 1004004 = 8430^2 + 1002^2 .

It is a super-2 number, since 2×72068904² = 10387853847522432, which contains 22 as substring.

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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11644 + ... + 16724.

Almost surely, 2^72068904 is an apocalyptic number.

It is an amenable number.

72068904 is an abundant number, since it is smaller than the sum of its proper divisors (124147116).

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

72068904 is a wasteful number, since it uses less digits than its factorization.

72068904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72068904 is about 8489.3406104361. The cubic root of 72068904 is about 416.1494316465.

It can be divided in two parts, 7206 and 8904, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 72068904 in words is "seventy-two million, sixty-eight thousand, nine hundred four".