49272 has 16 divisors (see below), whose sum is σ = 123240. Its totient is φ = 16416.

The previous prime is 49261. The next prime is 49277. The reversal of 49272 is 27294.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2053 = 49272 / (4 + 9 + 2 + 7 + 2).

It is a d-powerful number, because it can be written as 4⁷ + 9² + 2⁵ + 7 + 2¹⁵ .

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1003 + ... + 1050.

2⁴⁹²⁷² is an apocalyptic number.

It is an amenable number.

49272 is an abundant number, since it is smaller than the sum of its proper divisors (73968).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61620).

49272 is a wasteful number, since it uses less digits than its factorization.

49272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2058 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 49272 is about 221.9729713276. The cubic root of 49272 is about 36.6606418016.

The spelling of 49272 in words is "forty-nine thousand, two hundred seventy-two".