71298864 has 120 divisors (see below), whose sum is σ = 245630112. Its totient is φ = 18800640.

The previous prime is 71298847. The next prime is 71298869. The reversal of 71298864 is 46889217.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71298869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10384 + ... + 15824.

Almost surely, 2^71298864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71298864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122815056).

71298864 is an abundant number, since it is smaller than the sum of its proper divisors (174331248).

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

71298864 is a wasteful number, since it uses less digits than its factorization.

71298864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5466 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 71298864 is about 8443.8654655318. The cubic root of 71298864 is about 414.6619669561.

The spelling of 71298864 in words is "seventy-one million, two hundred ninety-eight thousand, eight hundred sixty-four".