71831672 has 64 divisors (see below), whose sum is σ = 154344960. Its totient is φ = 31046400.

The previous prime is 71831663. The next prime is 71831687. The reversal of 71831672 is 27613817.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154913 + ... + 155375.

It is an arithmetic number, because the mean of its divisors is an integer number (2411640).

Almost surely, 2^71831672 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 71831672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77172480).

71831672 is an abundant number, since it is smaller than the sum of its proper divisors (82513288).

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

71831672 is a wasteful number, since it uses less digits than its factorization.

71831672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 71831672 is about 8475.3567476538. The cubic root of 71831672 is about 415.6923113098.

The spelling of 71831672 in words is "seventy-one million, eight hundred thirty-one thousand, six hundred seventy-two".