71695872 has 60 divisors (see below), whose sum is σ = 206932440. Its totient is φ = 23897088.

The previous prime is 71695849. The next prime is 71695889. The reversal of 71695872 is 27859617.

71695872 is a `hidden beast` number, since 7 + 1 + 69 + 587 + 2 = 666.

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 in 5 ways as a sum of consecutive naturals, for example, 3172 + ... + 12387.

It is an arithmetic number, because the mean of its divisors is an integer number (3448874).

Almost surely, 2^71695872 is an apocalyptic number.

71695872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71695872 is an abundant number, since it is smaller than the sum of its proper divisors (135236568).

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

71695872 is a wasteful number, since it uses less digits than its factorization.

71695872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15583 (or 15564 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 71695872 is about 8467.3414954164. The cubic root of 71695872 is about 415.4301863267.

It can be divided in two parts, 7169 and 5872, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 71695872 in words is "seventy-one million, six hundred ninety-five thousand, eight hundred seventy-two".