82758132 has 48 divisors (see below), whose sum is σ = 217779520. Its totient is φ = 27171936.

The previous prime is 82758113. The next prime is 82758157. The reversal of 82758132 is 23185728.

82758132 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

82758132 is strictly pandigital in base 9.

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, 1518 + ... + 12954.

Almost surely, 2^82758132 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 82758132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108889760).

82758132 is an abundant number, since it is smaller than the sum of its proper divisors (135021388).

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

82758132 is a wasteful number, since it uses less digits than its factorization.

82758132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11517 (or 11509 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 82758132 is about 9097.1496634935. The cubic root of 82758132 is about 435.7829419256.

The spelling of 82758132 in words is "eighty-two million, seven hundred fifty-eight thousand, one hundred thirty-two".