72989699328 has 648 divisors, whose sum is σ = 265307602560. Its totient is φ = 18891325440.

The previous prime is 72989699323. The next prime is 72989699381. The reversal of 72989699328 is 82399698927.

72989699328 is a `hidden beast` number, since 7 + 298 + 9 + 6 + 9 + 9 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72989699323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166263333 + ... + 166263771.

Almost surely, 2^72989699328 is an apocalyptic number.

72989699328 is a gapful number since it is divisible by the number (78) 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 72989699328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132653801280).

72989699328 is an abundant number, since it is smaller than the sum of its proper divisors (192317903232).

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

72989699328 is a wasteful number, since it uses less digits than its factorization.

72989699328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 525 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 72989699328 in words is "seventy-two billion, nine hundred eighty-nine million, six hundred ninety-nine thousand, three hundred twenty-eight".