71679972 has 96 divisors (see below), whose sum is σ = 211002624. Its totient is φ = 18432000.

The previous prime is 71679961. The next prime is 71679991. The reversal of 71679972 is 27997617.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43972 + ... + 45572.

It is an arithmetic number, because the mean of its divisors is an integer number (2197944).

Almost surely, 2^71679972 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 71679972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105501312).

71679972 is an abundant number, since it is smaller than the sum of its proper divisors (139322652).

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

71679972 is a wasteful number, since it uses less digits than its factorization.

71679972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1667 counting only the distinct ones).

The product of its digits is 333396, while the sum is 48.

The square root of 71679972 is about 8466.4025418120. The cubic root of 71679972 is about 415.3994740596.

The spelling of 71679972 in words is "seventy-one million, six hundred seventy-nine thousand, nine hundred seventy-two".