72719360 has 88 divisors (see below), whose sum is σ = 199459680. Its totient is φ = 24920064.

The previous prime is 72719359. The next prime is 72719369. The reversal of 72719360 is 6391727.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 72719360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72719369) 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, 34826 + ... + 36854.

Almost surely, 2^72719360 is an apocalyptic number.

72719360 is a gapful number since it is divisible by the number (70) 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 72719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99729840).

72719360 is an abundant number, since it is smaller than the sum of its proper divisors (126740320).

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

72719360 is a wasteful number, since it uses less digits than its factorization.

72719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 72719360 is about 8527.5647168462. The cubic root of 72719360 is about 417.3976657646.

The spelling of 72719360 in words is "seventy-two million, seven hundred nineteen thousand, three hundred sixty".