49572 has 42 divisors (see below), whose sum is σ = 137718. Its totient is φ = 15552.

The previous prime is 49559. The next prime is 49597. The reversal of 49572 is 27594.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 2916 = 216^2 + 54^2 .

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

It is a nialpdrome in base 9.

It is an unprimeable number.

49572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2908 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (3279).

2⁴⁹⁵⁷² 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 49572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68859).

49572 is an abundant number, since it is smaller than the sum of its proper divisors (88146).

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

49572 is a wasteful number, since it uses less digits than its factorization.

49572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 22 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 49572 is about 222.6477037834. The cubic root of 49572 is about 36.7348959173.

The spelling of 49572 in words is "forty-nine thousand, five hundred seventy-two".