72692967248160 has 1536 divisors, whose sum is σ = 300174336000000. Its totient is φ = 14707404472320.

The previous prime is 72692967248147. The next prime is 72692967248171. The reversal of 72692967248160 is 6184276929627.

It is a super-3 number, since 3×72692967248160³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2812202916 + ... + 2812228764.

It is an arithmetic number, because the mean of its divisors is an integer number (195426000000).

Almost surely, 2^{72692967248160} is an apocalyptic number.

72692967248160 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 72692967248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150087168000000).

72692967248160 is an abundant number, since it is smaller than the sum of its proper divisors (227481368751840).

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

72692967248160 is a wasteful number, since it uses less digits than its factorization.

72692967248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25967 (or 25945 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 69.

The spelling of 72692967248160 in words is "seventy-two trillion, six hundred ninety-two billion, nine hundred sixty-seven million, two hundred forty-eight thousand, one hundred sixty".