72825822 has 48 divisors (see below), whose sum is σ = 168426960. Its totient is φ = 22674816.

The previous prime is 72825811. The next prime is 72825827. The reversal of 72825822 is 22852827.

72825822 is a `hidden beast` number, since 72 + 8 + 2 + 582 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72825827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23508 + ... + 26424.

It is an arithmetic number, because the mean of its divisors is an integer number (3508895).

Almost surely, 2^72825822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72825822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84213480).

72825822 is an abundant number, since it is smaller than the sum of its proper divisors (95601138).

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

72825822 is a wasteful number, since it uses less digits than its factorization.

72825822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3014 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 72825822 is about 8533.8046614626. The cubic root of 72825822 is about 417.6012581435.

The spelling of 72825822 in words is "seventy-two million, eight hundred twenty-five thousand, eight hundred twenty-two".