72722809440 has 576 divisors, whose sum is σ = 279477184896. Its totient is φ = 17122000896.

The previous prime is 72722809427. The next prime is 72722809451. The reversal of 72722809440 is 4490822727.

It is a super-2 number, since 2×72722809440² (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 a congruent number.

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, 29839902 + ... + 29842338.

It is an arithmetic number, because the mean of its divisors is an integer number (485203446).

Almost surely, 2^72722809440 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 72722809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139738592448).

72722809440 is an abundant number, since it is smaller than the sum of its proper divisors (206754375456).

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

72722809440 is a wasteful number, since it uses less digits than its factorization.

72722809440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 72722809440 in words is "seventy-two billion, seven hundred twenty-two million, eight hundred nine thousand, four hundred forty".