82725126 has 64 divisors (see below), whose sum is σ = 194745600. Its totient is φ = 23155200.

The previous prime is 82725091. The next prime is 82725127. The reversal of 82725126 is 62152728.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82725127) 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, 50610 + ... + 52218.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2^82725126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82725126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97372800).

82725126 is an abundant number, since it is smaller than the sum of its proper divisors (112020474).

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

82725126 is a wasteful number, since it uses less digits than its factorization.

82725126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685.

The product of its digits is 13440, while the sum is 33.

The square root of 82725126 is about 9095.3353978839. The cubic root of 82725126 is about 435.7250005325.

The spelling of 82725126 in words is "eighty-two million, seven hundred twenty-five thousand, one hundred twenty-six".