82725888 has 88 divisors (see below), whose sum is σ = 252059392. Its totient is φ = 23629824.

The previous prime is 82725857. The next prime is 82725889. The reversal of 82725888 is 88852728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82725889) 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, 19581 + ... + 23427.

Almost surely, 2^82725888 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 82725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126029696).

82725888 is an abundant number, since it is smaller than the sum of its proper divisors (169333504).

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

82725888 is a wasteful number, since it uses less digits than its factorization.

82725888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3859 counting only the distinct ones).

The product of its digits is 573440, while the sum is 48.

The square root of 82725888 is about 9095.3772873917. The cubic root of 82725888 is about 435.7263383825.

The spelling of 82725888 in words is "eighty-two million, seven hundred twenty-five thousand, eight hundred eighty-eight".