71952008 has 12 divisors (see below), whose sum is σ = 134955015. Its totient is φ = 35964008.

The previous prime is 71951983. The next prime is 71952019. The reversal of 71952008 is 80025917.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 35976004 + 35976004 = 5998^2 + 5998^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5998.

It is a Duffinian 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 in 2 ways as a sum of consecutive naturals, for example, 22493 + ... + 25491.

Almost surely, 2^71952008 is an apocalyptic number.

It is an amenable number.

71952008 is a deficient number, since it is larger than the sum of its proper divisors (63003007).

71952008 is an frugal number, since it uses more digits than its factorization.

71952008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 71952008 is about 8482.4529471138. The cubic root of 71952008 is about 415.9243113037.

Multiplying 71952008 by its sum of digits (32), we get a square (2302464256 = 47984²).

The spelling of 71952008 in words is "seventy-one million, nine hundred fifty-two thousand, eight".