72166101 has 8 divisors (see below), whose sum is σ = 109967424. Its totient is φ = 41237760.

The previous prime is 72166091. The next prime is 72166117. The reversal of 72166101 is 10166127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72166101 - 2⁵ = 72166069 is a prime.

It is a super-5 number, since 5×72166101⁵ (a number of 40 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72166141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1718220 + ... + 1718261.

It is an arithmetic number, because the mean of its divisors is an integer number (13745928).

Almost surely, 2^72166101 is an apocalyptic number.

It is an amenable number.

72166101 is a deficient number, since it is larger than the sum of its proper divisors (37801323).

72166101 is a wasteful number, since it uses less digits than its factorization.

72166101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436491.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 72166101 is about 8495.0633311353. The cubic root of 72166101 is about 416.3364300320.

The spelling of 72166101 in words is "seventy-two million, one hundred sixty-six thousand, one hundred one".