72883720 has 64 divisors (see below), whose sum is σ = 201841920. Its totient is φ = 23065344.

The previous prime is 72883717. The next prime is 72883729. The reversal of 72883720 is 2738827.

It is a self number, because there is not a number n which added to its sum of digits gives 72883720.

It is not an unprimeable number, because it can be changed into a prime (72883729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6372 + ... + 13651.

It is an arithmetic number, because the mean of its divisors is an integer number (3153780).

Almost surely, 2^72883720 is an apocalyptic number.

72883720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72883720 is an abundant number, since it is smaller than the sum of its proper divisors (128958200).

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

72883720 is a wasteful number, since it uses less digits than its factorization.

72883720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20054 (or 20050 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 72883720 is about 8537.1962610684. The cubic root of 72883720 is about 417.7118959750.

It can be divided in two parts, 728 and 83720, that added together give a palindrome (84448).

The spelling of 72883720 in words is "seventy-two million, eight hundred eighty-three thousand, seven hundred twenty".