72168822 has 48 divisors (see below), whose sum is σ = 172952208. Its totient is φ = 21565440.

The previous prime is 72168809. The next prime is 72168823. The reversal of 72168822 is 22886127.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72168823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11958 + ... + 16950.

It is an arithmetic number, because the mean of its divisors is an integer number (3603171).

Almost surely, 2^72168822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72168822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86476104).

72168822 is an abundant number, since it is smaller than the sum of its proper divisors (100783386).

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

72168822 is a wasteful number, since it uses less digits than its factorization.

72168822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5082 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 72168822 is about 8495.2234814630. The cubic root of 72168822 is about 416.3416625773.

The spelling of 72168822 in words is "seventy-two million, one hundred sixty-eight thousand, eight hundred twenty-two".