337012272 has 120 divisors (see below), whose sum is σ = 1021415280. Its totient is φ = 106375680.

The previous prime is 337012237. The next prime is 337012283. The reversal of 337012272 is 272210733.

It is a happy number.

It is a super-2 number, since 2×337012272² = 227154542957203968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154872 + ... + 157032.

It is an arithmetic number, because the mean of its divisors is an integer number (8511794).

Almost surely, 2^337012272 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 337012272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510707640).

337012272 is an abundant number, since it is smaller than the sum of its proper divisors (684403008).

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

337012272 is a wasteful number, since it uses less digits than its factorization.

337012272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 337012272 is about 18357.8939968614. The cubic root of 337012272 is about 695.9027807133.

The spelling of 337012272 in words is "three hundred thirty-seven million, twelve thousand, two hundred seventy-two".