72999269038080 has 3456 divisors, whose sum is σ = 333140970839040. Its totient is φ = 14911765217280.

The previous prime is 72999269038067. The next prime is 72999269038093. The reversal of 72999269038080 is 8083096299927.

72999269038080 is a `hidden beast` number, since 7 + 29 + 9 + 92 + 69 + 0 + 380 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (72999269038067) and next prime (72999269038093).

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 532841379772 + ... + 532841379908.

It is an arithmetic number, because the mean of its divisors is an integer number (96394956840).

Almost surely, 2^{72999269038080} is an apocalyptic number.

72999269038080 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 72999269038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166570485419520).

72999269038080 is an abundant number, since it is smaller than the sum of its proper divisors (260141701800960).

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

72999269038080 is a wasteful number, since it uses less digits than its factorization.

72999269038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 268 counting only the distinct ones).

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

The spelling of 72999269038080 in words is "seventy-two trillion, nine hundred ninety-nine billion, two hundred sixty-nine million, thirty-eight thousand, eighty".