72649930752 has 288 divisors, whose sum is σ = 250351592400. Its totient is φ = 20756348928.

The previous prime is 72649930751. The next prime is 72649930757. The reversal of 72649930752 is 25703994627.

72649930752 is a `hidden beast` number, since 72 + 6 + 499 + 30 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72649930751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2696098 + ... + 2722910.

Almost surely, 2^72649930752 is an apocalyptic number.

72649930752 is a gapful number since it is divisible by the number (72) 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 72649930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125175796200).

72649930752 is an abundant number, since it is smaller than the sum of its proper divisors (177701661648).

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

72649930752 is a wasteful number, since it uses less digits than its factorization.

72649930752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26858 (or 26825 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 72649930752 in words is "seventy-two billion, six hundred forty-nine million, nine hundred thirty thousand, seven hundred fifty-two".