72066137 has 8 divisors (see below), whose sum is σ = 84665280. Its totient is φ = 60474960.

The previous prime is 72066133. The next prime is 72066139. The reversal of 72066137 is 73166027.

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

It is not a de Polignac number, because 72066137 - 2² = 72066133 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72066133) 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, 251837 + ... + 252122.

It is an arithmetic number, because the mean of its divisors is an integer number (10583160).

Almost surely, 2^72066137 is an apocalyptic number.

It is an amenable number.

72066137 is a deficient number, since it is larger than the sum of its proper divisors (12599143).

72066137 is a wasteful number, since it uses less digits than its factorization.

72066137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503983.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 72066137 is about 8489.1776397953. The cubic root of 72066137 is about 416.1441057239.

The spelling of 72066137 in words is "seventy-two million, sixty-six thousand, one hundred thirty-seven".