71979264 has 108 divisors (see below), whose sum is σ = 237234816. Its totient is φ = 20560896.

The previous prime is 71979263. The next prime is 71979283. The reversal of 71979264 is 46297917.

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 (71979263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13897 + ... + 18359.

Almost surely, 2^71979264 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 71979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118617408).

71979264 is an abundant number, since it is smaller than the sum of its proper divisors (165255552).

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

71979264 is a wasteful number, since it uses less digits than its factorization.

71979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4475 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 71979264 is about 8484.0594057326. The cubic root of 71979264 is about 415.9768231664.

It can be divided in two parts, 7197 and 9264, that added together give a palindrome (16461).

The spelling of 71979264 in words is "seventy-one million, nine hundred seventy-nine thousand, two hundred sixty-four".