72368720 has 80 divisors (see below), whose sum is σ = 181059840. Its totient is φ = 26813952.

The previous prime is 72368719. The next prime is 72368729. The reversal of 72368720 is 2786327.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72368729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70934 + ... + 71946.

It is an arithmetic number, because the mean of its divisors is an integer number (2263248).

Almost surely, 2^72368720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72368720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90529920).

72368720 is an abundant number, since it is smaller than the sum of its proper divisors (108691120).

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

72368720 is a wasteful number, since it uses less digits than its factorization.

72368720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 72368720 is about 8506.9806629614. The cubic root of 72368720 is about 416.7257118102.

The spelling of 72368720 in words is "seventy-two million, three hundred sixty-eight thousand, seven hundred twenty".