71653968 has 30 divisors (see below), whose sum is σ = 200531994. Its totient is φ = 23884608.

The previous prime is 71653961. The next prime is 71653979. The reversal of 71653968 is 86935617.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 46131264 + 25522704 = 6792^2 + 5052^2 .

It is a super-2 number, since 2×71653968² = 10268582260290048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71653961) 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, 248655 + ... + 248942.

Almost surely, 2^71653968 is an apocalyptic number.

It is an amenable number.

71653968 is an abundant number, since it is smaller than the sum of its proper divisors (128878026).

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

71653968 is a wasteful number, since it uses less digits than its factorization.

71653968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497611 (or 497602 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 71653968 is about 8464.8666853058. The cubic root of 71653968 is about 415.3492352265.

The spelling of 71653968 in words is "seventy-one million, six hundred fifty-three thousand, nine hundred sixty-eight".