72072016272 has 40 divisors (see below), whose sum is σ = 206873381280. Its totient is φ = 24024005280.

The previous prime is 72072016249. The next prime is 72072016301. The reversal of 72072016272 is 27261027027.

72072016272 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 20 + 1 + 627 + 2 = 666.

It is a super-2 number, since 2×72072016272² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 7 ways as a sum of consecutive naturals, for example, 83416254 + ... + 83417117.

It is an arithmetic number, because the mean of its divisors is an integer number (5171834532).

Almost surely, 2^72072016272 is an apocalyptic number.

72072016272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72072016272 is an abundant number, since it is smaller than the sum of its proper divisors (134801365008).

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

72072016272 is a wasteful number, since it uses less digits than its factorization.

72072016272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166833388 (or 166833376 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 72072016272 in words is "seventy-two billion, seventy-two million, sixteen thousand, two hundred seventy-two".