72293724720 has 480 divisors, whose sum is σ = 302902279680. Its totient is φ = 15654021120.

The previous prime is 72293724719. The next prime is 72293724743. The reversal of 72293724720 is 2742739227.

72293724720 is a `hidden beast` number, since 7 + 22 + 93 + 72 + 472 + 0 = 666.

It is a super-2 number, since 2×72293724720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2571540 + ... + 2599500.

It is an arithmetic number, because the mean of its divisors is an integer number (631046416).

Almost surely, 2^72293724720 is an apocalyptic number.

72293724720 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 72293724720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151451139840).

72293724720 is an abundant number, since it is smaller than the sum of its proper divisors (230608554960).

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

72293724720 is a wasteful number, since it uses less digits than its factorization.

72293724720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28015 (or 27997 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 72293724720 in words is "seventy-two billion, two hundred ninety-three million, seven hundred twenty-four thousand, seven hundred twenty".