72084008 has 8 divisors (see below), whose sum is σ = 135157530. Its totient is φ = 36042000.

The previous prime is 72083993. The next prime is 72084013. The reversal of 72084008 is 80048027.

It can be written as a sum of positive squares in only one way, i.e., 67930564 + 4153444 = 8242^2 + 2038^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×72084008² = 10392208418688128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4505243 + ... + 4505258.

Almost surely, 2^72084008 is an apocalyptic number.

It is an amenable number.

72084008 is a deficient number, since it is larger than the sum of its proper divisors (63073522).

72084008 is a wasteful number, since it uses less digits than its factorization.

72084008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010507 (or 9010503 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 72084008 is about 8490.2301500018. The cubic root of 72084008 is about 416.1785014284.

The spelling of 72084008 in words is "seventy-two million, eighty-four thousand, eight".