49752 has 24 divisors (see below), whose sum is σ = 134940. Its totient is φ = 16560.

The previous prime is 49747. The next prime is 49757. The reversal of 49752 is 25794.

49752 = T₁₃ + T₁₄ + ... + T₆₆.

It is an interprime number because it is at equal distance from previous prime (49747) and next prime (49757).

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49752.

It is not an unprimeable number, because it can be changed into a prime (49757) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 274 + ... + 417.

2⁴⁹⁷⁵² is an apocalyptic number.

It is an amenable number.

49752 is an abundant number, since it is smaller than the sum of its proper divisors (85188).

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

49752 is a wasteful number, since it uses less digits than its factorization.

49752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 696 counting only the distinct ones).

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

The square root of 49752 is about 223.0515635453. The cubic root of 49752 is about 36.7793046838.

The spelling of 49752 in words is "forty-nine thousand, seven hundred fifty-two".