71868672 has 54 divisors (see below), whose sum is σ = 207221742. Its totient is φ = 23955456.

The previous prime is 71868661. The next prime is 71868677. The reversal of 71868672 is 27686817.

It can be written as a sum of positive squares in only one way, i.e., 61214976 + 10653696 = 7824^2 + 3264^2 .

It is not an unprimeable number, because it can be changed into a prime (71868677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13293 + ... + 17900.

Almost surely, 2^71868672 is an apocalyptic number.

71868672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71868672 is an abundant number, since it is smaller than the sum of its proper divisors (135353070).

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

71868672 is a wasteful number, since it uses less digits than its factorization.

71868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31215 (or 31198 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 71868672 is about 8477.5392656124. The cubic root of 71868672 is about 415.7636724750.

The spelling of 71868672 in words is "seventy-one million, eight hundred sixty-eight thousand, six hundred seventy-two".