71842432 has 48 divisors (see below), whose sum is σ = 149757930. Its totient is φ = 34327040.

The previous prime is 71842423. The next prime is 71842451. The reversal of 71842432 is 23424817.

It can be written as a sum of positive squares in only one way, i.e., 56911936 + 14930496 = 7544^2 + 3864^2 .

It is a super-2 number, since 2×71842432² = 10322670071349248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71842394 and 71842403.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67182 + ... + 68242.

Almost surely, 2^71842432 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 71842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74878965).

71842432 is an abundant number, since it is smaller than the sum of its proper divisors (77915498).

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

71842432 is a wasteful number, since it uses less digits than its factorization.

71842432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1086 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 71842432 is about 8475.9915054228. The cubic root of 71842432 is about 415.7130664346.

The spelling of 71842432 in words is "seventy-one million, eight hundred forty-two thousand, four hundred thirty-two".