82762752 has 88 divisors (see below), whose sum is σ = 228445200. Its totient is φ = 26607616.

The previous prime is 82762751. The next prime is 82762753. The reversal of 82762752 is 25726728.

It is an interprime number because it is at equal distance from previous prime (82762751) and next prime (82762753).

It is a super-2 number, since 2×82762752² = 13699346237227008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82762752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82762751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88624 + ... + 89552.

Almost surely, 2^82762752 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 82762752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114222600).

82762752 is an abundant number, since it is smaller than the sum of its proper divisors (145682448).

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

82762752 is a wasteful number, since it uses less digits than its factorization.

82762752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 963 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 82762752 is about 9097.4035856391. The cubic root of 82762752 is about 435.7910510168.

The spelling of 82762752 in words is "eighty-two million, seven hundred sixty-two thousand, seven hundred fifty-two".