71624672 has 72 divisors (see below), whose sum is σ = 173746944. Its totient is φ = 28879872.

The previous prime is 71624659. The next prime is 71624681. The reversal of 71624672 is 27642617.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25313 + ... + 27999.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2^71624672 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 71624672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

71624672 is an abundant number, since it is smaller than the sum of its proper divisors (102122272).

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

71624672 is a wasteful number, since it uses less digits than its factorization.

71624672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2713 counting only the distinct ones).

The product of its digits is 28224, while the sum is 35.

The square root of 71624672 is about 8463.1360617681. The cubic root of 71624672 is about 415.2926218003.

The spelling of 71624672 in words is "seventy-one million, six hundred twenty-four thousand, six hundred seventy-two".