72400208 has 10 divisors (see below), whose sum is σ = 140275434. Its totient is φ = 36200096.

The previous prime is 72400193. The next prime is 72400213. The reversal of 72400208 is 80200427.

It can be written as a sum of positive squares in only one way, i.e., 67699984 + 4700224 = 8228^2 + 2168^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2262491 + ... + 2262522.

Almost surely, 2^72400208 is an apocalyptic number.

It is an amenable number.

72400208 is a deficient number, since it is larger than the sum of its proper divisors (67875226).

72400208 is a wasteful number, since it uses less digits than its factorization.

72400208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525021 (or 4525015 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 72400208 is about 8508.8311770771. The cubic root of 72400208 is about 416.7861428755.

The spelling of 72400208 in words is "seventy-two million, four hundred thousand, two hundred eight".