72141167 has 8 divisors (see below), whose sum is σ = 82509216. Its totient is φ = 61788672.

The previous prime is 72141151. The next prime is 72141191. The reversal of 72141167 is 76114127.

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

It is a cyclic number.

It is not a de Polignac number, because 72141167 - 2⁴ = 72141151 is a prime.

It is a super-2 number, since 2×72141167² = 10408695952243778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72141107) 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, 8843 + ... + 14915.

It is an arithmetic number, because the mean of its divisors is an integer number (10313652).

Almost surely, 2^72141167 is an apocalyptic number.

72141167 is a deficient number, since it is larger than the sum of its proper divisors (10368049).

72141167 is a wasteful number, since it uses less digits than its factorization.

72141167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7777.

The product of its digits is 2352, while the sum is 29.

The square root of 72141167 is about 8493.5956461324. The cubic root of 72141167 is about 416.2884752526.

The spelling of 72141167 in words is "seventy-two million, one hundred forty-one thousand, one hundred sixty-seven".