72166572660 has 384 divisors, whose sum is σ = 252071930880. Its totient is φ = 15110903808.

The previous prime is 72166572649. The next prime is 72166572661. The reversal of 72166572660 is 6627566127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72166572661) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 181779582 + ... + 181779978.

It is an arithmetic number, because the mean of its divisors is an integer number (656437320).

Almost surely, 2^72166572660 is an apocalyptic number.

72166572660 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 72166572660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126035965440).

72166572660 is an abundant number, since it is smaller than the sum of its proper divisors (179905358220).

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

72166572660 is a wasteful number, since it uses less digits than its factorization.

72166572660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 72166572660 in words is "seventy-two billion, one hundred sixty-six million, five hundred seventy-two thousand, six hundred sixty".