72122204 has 48 divisors (see below), whose sum is σ = 164215296. Its totient is φ = 26875200.

The previous prime is 72122179. The next prime is 72122209. The reversal of 72122204 is 40222127.

It is a happy number.

It is a super-2 number, since 2×72122204² = 10403224619635232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72122209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1994 + ... + 12174.

It is an arithmetic number, because the mean of its divisors is an integer number (3421152).

Almost surely, 2^72122204 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 72122204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82107648).

72122204 is an abundant number, since it is smaller than the sum of its proper divisors (92093092).

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

72122204 is a wasteful number, since it uses less digits than its factorization.

72122204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 10224 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 72122204 is about 8492.4792610874. The cubic root of 72122204 is about 416.2519969123.

The spelling of 72122204 in words is "seventy-two million, one hundred twenty-two thousand, two hundred four".