514272 has 48 divisors (see below), whose sum is σ = 1475712. Its totient is φ = 155520.

The previous prime is 514271. The next prime is 514277. The reversal of 514272 is 272415.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514271) 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, 813 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (30744).

2⁵¹⁴²⁷² 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 514272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737856).

514272 is an abundant number, since it is smaller than the sum of its proper divisors (961440).

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

514272 is a wasteful number, since it uses less digits than its factorization.

514272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 514272 is about 717.1276037080. The cubic root of 514272 is about 80.1181587288.

Adding to 514272 its reverse (272415), we get a palindrome (786687).

The spelling of 514272 in words is "five hundred fourteen thousand, two hundred seventy-two".