72242728600 has 480 divisors, whose sum is σ = 212062141440. Its totient is φ = 22819104000.

The previous prime is 72242728589. The next prime is 72242728667. The reversal of 72242728600 is 682724227.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 342382495 + ... + 342382705.

It is an arithmetic number, because the mean of its divisors is an integer number (441796128).

Almost surely, 2^72242728600 is an apocalyptic number.

72242728600 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 72242728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106031070720).

72242728600 is an abundant number, since it is smaller than the sum of its proper divisors (139819412840).

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

72242728600 is a wasteful number, since it uses less digits than its factorization.

72242728600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 72242728600 in words is "seventy-two billion, two hundred forty-two million, seven hundred twenty-eight thousand, six hundred".