72318672 has 60 divisors (see below), whose sum is σ = 205734724. Its totient is φ = 23708160.

The previous prime is 72318643. The next prime is 72318679. The reversal of 72318672 is 27681327.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 65221776 = 2664^2 + 8076^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72318679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4668 + ... + 12900.

Almost surely, 2^72318672 is an apocalyptic number.

72318672 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 72318672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102867362).

72318672 is an abundant number, since it is smaller than the sum of its proper divisors (133416052).

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

72318672 is a wasteful number, since it uses less digits than its factorization.

72318672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8308 (or 8299 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72318672 is about 8504.0385699972. The cubic root of 72318672 is about 416.6296247248.

Adding to 72318672 its reverse (27681327), we get a palindrome (99999999).

The spelling of 72318672 in words is "seventy-two million, three hundred eighteen thousand, six hundred seventy-two".