72152208 has 50 divisors (see below), whose sum is σ = 208833174. Its totient is φ = 24050304.

The previous prime is 72152167. The next prime is 72152231. The reversal of 72152208 is 80225127.

It can be written as a sum of positive squares in only one way, i.e., 69755904 + 2396304 = 8352^2 + 1548^2 .

It is a super-2 number, since 2×72152208² = 10411882238550528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 in 9 ways as a sum of consecutive naturals, for example, 26541 + ... + 29132.

Almost surely, 2^72152208 is an apocalyptic number.

It is an amenable number.

72152208 is an abundant number, since it is smaller than the sum of its proper divisors (136680966).

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

72152208 is a wasteful number, since it uses less digits than its factorization.

72152208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55693 (or 55678 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72152208 is about 8494.2455815687. The cubic root of 72152208 is about 416.3097114242.

The spelling of 72152208 in words is "seventy-two million, one hundred fifty-two thousand, two hundred eight".