45272 has 8 divisors (see below), whose sum is σ = 84900. Its totient is φ = 22632.

The previous prime is 45263. The next prime is 45281. The reversal of 45272 is 27254.

45272 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (45263) and next prime (45281).

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

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

45272 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, 2822 + ... + 2837.

2⁴⁵²⁷² is an apocalyptic number.

It is an amenable number.

45272 is a deficient number, since it is larger than the sum of its proper divisors (39628).

45272 is a wasteful number, since it uses less digits than its factorization.

45272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5665 (or 5661 counting only the distinct ones).

The product of its digits is 560, while the sum is 20.

The square root of 45272 is about 212.7721786325. The cubic root of 45272 is about 35.6404539497.

The spelling of 45272 in words is "forty-five thousand, two hundred seventy-two".