72346122 has 40 divisors (see below), whose sum is σ = 164788932. Its totient is φ = 23716800.

The previous prime is 72346117. The next prime is 72346123. The reversal of 72346122 is 22164327.

It can be written as a sum of positive squares in 2 ways, for example, as 43283241 + 29062881 = 6579^2 + 5391^2 .

It is a super-2 number, since 2×72346122² = 10467922736877768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72346123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6222 + ... + 13542.

Almost surely, 2^72346122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72346122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82394466).

72346122 is an abundant number, since it is smaller than the sum of its proper divisors (92442810).

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

72346122 is a wasteful number, since it uses less digits than its factorization.

72346122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396 (or 7387 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 72346122 is about 8505.6523559337. The cubic root of 72346122 is about 416.6823314288.

The spelling of 72346122 in words is "seventy-two million, three hundred forty-six thousand, one hundred twenty-two".