72511096320 has 800 divisors, whose sum is σ = 287643964608. Its totient is φ = 17342595072.

The previous prime is 72511096267. The next prime is 72511096327. The reversal of 72511096320 is 2369011527.

72511096320 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 10 + 9 + 632 + 0 = 666.

It is a super-3 number, since 3×72511096320³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72511096327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99739797 + ... + 99740523.

Almost surely, 2^72511096320 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 72511096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143821982304).

72511096320 is an abundant number, since it is smaller than the sum of its proper divisors (215132868288).

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

72511096320 is a wasteful number, since it uses less digits than its factorization.

72511096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 72511096320 in words is "seventy-two billion, five hundred eleven million, ninety-six thousand, three hundred twenty".