72122368 has 64 divisors (see below), whose sum is σ = 150992640. Its totient is φ = 34406400.

The previous prime is 72122359. The next prime is 72122377. The reversal of 72122368 is 86322127.

It is an interprime number because it is at equal distance from previous prime (72122359) and next prime (72122377).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1015773 + ... + 1015843.

It is an arithmetic number, because the mean of its divisors is an integer number (2359260).

Almost surely, 2^72122368 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 72122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75496320).

72122368 is an abundant number, since it is smaller than the sum of its proper divisors (78870272).

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

72122368 is an frugal number, since it uses more digits than its factorization.

72122368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 72122368 is about 8492.4889166840. The cubic root of 72122368 is about 416.2523124197.

The spelling of 72122368 in words is "seventy-two million, one hundred twenty-two thousand, three hundred sixty-eight".