72166611617132 has 24 divisors (see below), whose sum is σ = 126359093633472. Its totient is φ = 36064018026000.

The previous prime is 72166611617131. The next prime is 72166611617137. The reversal of 72166611617132 is 23171611666127.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72166611617131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62789507 + ... + 63928517.

It is an arithmetic number, because the mean of its divisors is an integer number (5264962234728).

Almost surely, 2^{72166611617132} is an apocalyptic number.

It is an amenable number.

72166611617132 is a deficient number, since it is larger than the sum of its proper divisors (54192482016340).

72166611617132 is a wasteful number, since it uses less digits than its factorization.

72166611617132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147469 (or 1147467 counting only the distinct ones).

The product of its digits is 762048, while the sum is 50.

The spelling of 72166611617132 in words is "seventy-two trillion, one hundred sixty-six billion, six hundred eleven million, six hundred seventeen thousand, one hundred thirty-two".