72137 has 8 divisors (see below), whose sum is σ = 80640. Its totient is φ = 64080.

The previous prime is 72109. The next prime is 72139. The reversal of 72137 is 73127.

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 72137 - 2⁶ = 72073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72139) 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, 314 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2⁷²¹³⁷ is an apocalyptic number.

It is an amenable number.

72137 is a deficient number, since it is larger than the sum of its proper divisors (8503).

72137 is a wasteful number, since it uses less digits than its factorization.

72137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223.

The product of its digits is 294, while the sum is 20.

The square root of 72137 is about 268.5833204054. The cubic root of 72137 is about 41.6280459915.

Subtracting 72137 from its reverse (73127), we obtain a triangular number (990 = T₄₄).

The spelling of 72137 in words is "seventy-two thousand, one hundred thirty-seven".