82240752 has 160 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 23296000.

The previous prime is 82240733. The next prime is 82240757. The reversal of 82240752 is 25704228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82240757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627727 + ... + 627857.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^82240752 is an apocalyptic number.

82240752 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82240752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

82240752 is an abundant number, since it is smaller than the sum of its proper divisors (165243408).

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

82240752 is a wasteful number, since it uses less digits than its factorization.

82240752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 82240752 is about 9068.6687005315. The cubic root of 82240752 is about 434.8729130662.

The spelling of 82240752 in words is "eighty-two million, two hundred forty thousand, seven hundred fifty-two".