71812832 has 108 divisors (see below), whose sum is σ = 178745616. Its totient is φ = 28304640.

The previous prime is 71812823. The next prime is 71812841. The reversal of 71812832 is 23821817.

It is an interprime number because it is at equal distance from previous prime (71812823) and next prime (71812841).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 264857 + ... + 265127.

It is an arithmetic number, because the mean of its divisors is an integer number (1655052).

Almost surely, 2^71812832 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 71812832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89372808).

71812832 is an abundant number, since it is smaller than the sum of its proper divisors (106932784).

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

71812832 is a wasteful number, since it uses less digits than its factorization.

71812832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 71812832 is about 8474.2452171270. The cubic root of 71812832 is about 415.6559655599.

The spelling of 71812832 in words is "seventy-one million, eight hundred twelve thousand, eight hundred thirty-two".