71830032 has 160 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 20643840.

The previous prime is 71830027. The next prime is 71830043. The reversal of 71830032 is 23003817.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 71829984 and 71830011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635608 + ... + 635720.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^71830032 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 71830032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

71830032 is an abundant number, since it is smaller than the sum of its proper divisors (141906288).

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

71830032 is a wasteful number, since it uses less digits than its factorization.

71830032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 71830032 is about 8475.2599960119. The cubic root of 71830032 is about 415.6891477072.

Adding to 71830032 its reverse (23003817), we get a palindrome (94833849).

The spelling of 71830032 in words is "seventy-one million, eight hundred thirty thousand, thirty-two".