137672 has 8 divisors (see below), whose sum is σ = 258150. Its totient is φ = 68832.

The previous prime is 137659. The next prime is 137699. The reversal of 137672 is 276731.

It can be written as a sum of positive squares in only one way, i.e., 119716 + 17956 = 346^2 + 134^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

137672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8597 + ... + 8612.

2¹³⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

137672 is a deficient number, since it is larger than the sum of its proper divisors (120478).

137672 is a wasteful number, since it uses less digits than its factorization.

137672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17215 (or 17211 counting only the distinct ones).

The product of its digits is 1764, while the sum is 26.

The square root of 137672 is about 371.0417766236. The cubic root of 137672 is about 51.6355182816.

It can be divided in two parts, 1 and 37672, that added together give a palindrome (37673).

The spelling of 137672 in words is "one hundred thirty-seven thousand, six hundred seventy-two".