72674208 has 36 divisors (see below), whose sum is σ = 206668098. Its totient is φ = 24224640.

The previous prime is 72674197. The next prime is 72674237. The reversal of 72674208 is 80247627.

It can be written as a sum of positive squares in only one way, i.e., 64448784 + 8225424 = 8028^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125883 + ... + 126458.

Almost surely, 2^72674208 is an apocalyptic number.

It is an amenable number.

72674208 is an abundant number, since it is smaller than the sum of its proper divisors (133993890).

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

72674208 is a wasteful number, since it uses less digits than its factorization.

72674208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252357 (or 252346 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72674208 is about 8524.9168910905. The cubic root of 72674208 is about 417.3112594240.

The spelling of 72674208 in words is "seventy-two million, six hundred seventy-four thousand, two hundred eight".