72000208 has 30 divisors (see below), whose sum is σ = 162277746. Its totient is φ = 30856896.

The previous prime is 72000169. The next prime is 72000209. The reversal of 72000208 is 80200027.

It can be written as a sum of positive squares in only one way, i.e., 53406864 + 18593344 = 7308^2 + 4312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72000209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45135 + ... + 46702.

Almost surely, 2^72000208 is an apocalyptic number.

It is an amenable number.

72000208 is an abundant number, since it is smaller than the sum of its proper divisors (90277538).

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

72000208 is a wasteful number, since it uses less digits than its factorization.

72000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91859 (or 91846 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 72000208 is about 8485.2936307473. The cubic root of 72000208 is about 416.0171652187.

The spelling of 72000208 in words is "seventy-two million, two hundred eight", and thus it is an aban number.