72653112 has 192 divisors, whose sum is σ = 246355200. Its totient is φ = 19595520.

The previous prime is 72653099. The next prime is 72653167. The reversal of 72653112 is 21135627.

It is a happy number.

72653112 is a `hidden beast` number, since 7 + 2 + 653 + 1 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258412 + ... + 258692.

It is an arithmetic number, because the mean of its divisors is an integer number (1283100).

Almost surely, 2^72653112 is an apocalyptic number.

72653112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72653112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123177600).

72653112 is an abundant number, since it is smaller than the sum of its proper divisors (173702088).

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

72653112 is a wasteful number, since it uses less digits than its factorization.

72653112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 72653112 is about 8523.6794871698. The cubic root of 72653112 is about 417.2708762282.

Adding to 72653112 its reverse (21135627), we get a palindrome (93788739).

The spelling of 72653112 in words is "seventy-two million, six hundred fifty-three thousand, one hundred twelve".