337272 has 64 divisors (see below), whose sum is σ = 967680. Its totient is φ = 97152.

The previous prime is 337261. The next prime is 337277. The reversal of 337272 is 272733.

It is a super-2 number, since 2×337272² = 227504803968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7153 + ... + 7199.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2³³⁷²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

337272 is an abundant number, since it is smaller than the sum of its proper divisors (630408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

337272 is a wasteful number, since it uses less digits than its factorization.

337272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 88 counting only the distinct ones).

The product of its digits is 1764, while the sum is 24.

The square root of 337272 is about 580.7512376224. The cubic root of 337272 is about 69.6081507167.

The spelling of 337272 in words is "three hundred thirty-seven thousand, two hundred seventy-two".