72072689492160 has 448 divisors, whose sum is σ = 290596261478400. Its totient is φ = 16472766541824.

The previous prime is 72072689492137. The next prime is 72072689492173. The reversal of 72072689492160 is 6129498627027.

72072689492160 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 2 + 6 + 89 + 492 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1583887969 + ... + 1583933471.

Almost surely, 2^{72072689492160} is an apocalyptic number.

72072689492160 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 72072689492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145298130739200).

72072689492160 is an abundant number, since it is smaller than the sum of its proper divisors (218523571986240).

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

72072689492160 is a wasteful number, since it uses less digits than its factorization.

72072689492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71725 (or 71709 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 72072689492160 in words is "seventy-two trillion, seventy-two billion, six hundred eighty-nine million, four hundred ninety-two thousand, one hundred sixty".