71974672 has 120 divisors (see below), whose sum is σ = 180488448. Its totient is φ = 27202560.

The previous prime is 71974633. The next prime is 71974673. The reversal of 71974672 is 27647917.

It is not an unprimeable number, because it can be changed into a prime (71974673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636888 + ... + 637000.

Almost surely, 2^71974672 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 71974672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90244224).

71974672 is an abundant number, since it is smaller than the sum of its proper divisors (108513776).

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

71974672 is a wasteful number, since it uses less digits than its factorization.

71974672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its digits is 148176, while the sum is 43.

The square root of 71974672 is about 8483.7887762485. The cubic root of 71974672 is about 415.9679770715.

The spelling of 71974672 in words is "seventy-one million, nine hundred seventy-four thousand, six hundred seventy-two".