72825779710320 has 640 divisors, whose sum is σ = 287154688923648. Its totient is φ = 14857990963200.

The previous prime is 72825779710303. The next prime is 72825779710337. The reversal of 72825779710320 is 2301797752827.

It is an interprime number because it is at equal distance from previous prime (72825779710303) and next prime (72825779710337).

It is a super-2 number, since 2×72825779710320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100824855 + ... + 101544585.

Almost surely, 2^{72825779710320} is an apocalyptic number.

72825779710320 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 72825779710320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143577344461824).

72825779710320 is an abundant number, since it is smaller than the sum of its proper divisors (214328909213328).

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

72825779710320 is a wasteful number, since it uses less digits than its factorization.

72825779710320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719921 (or 719915 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 60.

The spelling of 72825779710320 in words is "seventy-two trillion, eight hundred twenty-five billion, seven hundred seventy-nine million, seven hundred ten thousand, three hundred twenty".