72724220280 has 160 divisors (see below), whose sum is σ = 245716035840. Its totient is φ = 19291426560.

The previous prime is 72724220267. The next prime is 72724220299. The reversal of 72724220280 is 8202242727.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 560082 + ... + 677598.

It is an arithmetic number, because the mean of its divisors is an integer number (1535725224).

Almost surely, 2^72724220280 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 72724220280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122858017920).

72724220280 is an abundant number, since it is smaller than the sum of its proper divisors (172991815560).

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

72724220280 is a wasteful number, since it uses less digits than its factorization.

72724220280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117731 (or 117718 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 72724220280 in words is "seventy-two billion, seven hundred twenty-four million, two hundred twenty thousand, two hundred eighty".