49725 has 36 divisors (see below), whose sum is σ = 101556. Its totient is φ = 23040.

The previous prime is 49711. The next prime is 49727. The reversal of 49725 is 52794.

49725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1764 + 47961 = 42^2 + 219^2 .

It is not a de Polignac number, because 49725 - 2⁷ = 49597 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4² + 9 + 7⁵ + 2¹⁵ + 5³ .

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49727) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2917 + ... + 2933.

It is an arithmetic number, because the mean of its divisors is an integer number (2821).

2⁴⁹⁷²⁵ is an apocalyptic number.

49725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49725 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (50778).

49725 is a wasteful number, since it uses less digits than its factorization.

49725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 38 counting only the distinct ones).

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

The square root of 49725 is about 222.9910312098. The cubic root of 49725 is about 36.7726502048.

The spelling of 49725 in words is "forty-nine thousand, seven hundred twenty-five".