71872632 has 96 divisors (see below), whose sum is σ = 216478080. Its totient is φ = 21392640.

The previous prime is 71872597. The next prime is 71872637. The reversal of 71872632 is 23627817.

71872632 is a `hidden beast` number, since 7 + 18 + 7 + 2 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71872637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27778 + ... + 30254.

It is an arithmetic number, because the mean of its divisors is an integer number (2254980).

Almost surely, 2^71872632 is an apocalyptic number.

71872632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71872632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108239040).

71872632 is an abundant number, since it is smaller than the sum of its proper divisors (144605448).

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

71872632 is a wasteful number, since it uses less digits than its factorization.

71872632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2526 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 71872632 is about 8477.7728207354. The cubic root of 71872632 is about 415.7713085973.

The spelling of 71872632 in words is "seventy-one million, eight hundred seventy-two thousand, six hundred thirty-two".