82540752 has 80 divisors (see below), whose sum is σ = 245317632. Its totient is φ = 23425920.

The previous prime is 82540741. The next prime is 82540753. The reversal of 82540752 is 25704528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82540753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55377 + ... + 56847.

Almost surely, 2^82540752 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 82540752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122658816).

82540752 is an abundant number, since it is smaller than the sum of its proper divisors (162776880).

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

82540752 is a wasteful number, since it uses less digits than its factorization.

82540752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 82540752 is about 9085.1941090986. The cubic root of 82540752 is about 435.4010517216.

The spelling of 82540752 in words is "eighty-two million, five hundred forty thousand, seven hundred fifty-two".