72769698432 has 768 divisors, whose sum is σ = 248468083200. Its totient is φ = 20878000128.

The previous prime is 72769698431. The next prime is 72769698433. The reversal of 72769698432 is 23489696727.

72769698432 is a `hidden beast` number, since 7 + 27 + 6 + 96 + 98 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (72769698431) and next prime (72769698433).

It is a self number, because there is not a number n which added to its sum of digits gives 72769698432.

It is not an unprimeable number, because it can be changed into a prime (72769698431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 996845148 + ... + 996845220.

It is an arithmetic number, because the mean of its divisors is an integer number (323526150).

Almost surely, 2^72769698432 is an apocalyptic number.

72769698432 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 72769698432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124234041600).

72769698432 is an abundant number, since it is smaller than the sum of its proper divisors (175698384768).

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

72769698432 is a wasteful number, since it uses less digits than its factorization.

72769698432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 72769698432 in words is "seventy-two billion, seven hundred sixty-nine million, six hundred ninety-eight thousand, four hundred thirty-two".