72105612 has 24 divisors (see below), whose sum is σ = 170618112. Its totient is φ = 23696400.

The previous prime is 72105587. The next prime is 72105613. The reversal of 72105612 is 21650127.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72105613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41464 + ... + 43167.

It is an arithmetic number, because the mean of its divisors is an integer number (7109088).

Almost surely, 2^72105612 is an apocalyptic number.

It is an amenable number.

72105612 is an abundant number, since it is smaller than the sum of its proper divisors (98512500).

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

72105612 is a wasteful number, since it uses less digits than its factorization.

72105612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84709 (or 84707 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 72105612 is about 8491.5023405755. The cubic root of 72105612 is about 416.2200743215.

Adding to 72105612 its reverse (21650127), we get a palindrome (93755739).

The spelling of 72105612 in words is "seventy-two million, one hundred five thousand, six hundred twelve".