72312102 has 40 divisors (see below), whose sum is σ = 162624000. Its totient is φ = 24016176.

The previous prime is 72312089. The next prime is 72312127. The reversal of 72312102 is 20121327.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 55899 + ... + 57177.

It is an arithmetic number, because the mean of its divisors is an integer number (4065600).

Almost surely, 2^72312102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72312102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81312000).

72312102 is an abundant number, since it is smaller than the sum of its proper divisors (90311898).

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

72312102 is a wasteful number, since it uses less digits than its factorization.

72312102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72312102 is about 8503.6522741702. The cubic root of 72312102 is about 416.6170076996.

Adding to 72312102 its reverse (20121327), we get a palindrome (92433429).

The spelling of 72312102 in words is "seventy-two million, three hundred twelve thousand, one hundred two".