72612126 has 80 divisors (see below), whose sum is σ = 169361280. Its totient is φ = 23239440.

The previous prime is 72612109. The next prime is 72612131. The reversal of 72612126 is 62121627.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72612126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 678565 + ... + 678671.

It is an arithmetic number, because the mean of its divisors is an integer number (2117016).

Almost surely, 2^72612126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72612126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84680640).

72612126 is an abundant number, since it is smaller than the sum of its proper divisors (96749154).

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

72612126 is a wasteful number, since it uses less digits than its factorization.

72612126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 72612126 is about 8521.2749046137. The cubic root of 72612126 is about 417.1923960794.

The spelling of 72612126 in words is "seventy-two million, six hundred twelve thousand, one hundred twenty-six".