19752 has 16 divisors (see below), whose sum is σ = 49440. Its totient is φ = 6576.

The previous prime is 19751. The next prime is 19753. The reversal of 19752 is 25791.

It is an interprime number because it is at equal distance from previous prime (19751) and next prime (19753).

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: 823 = 19752 / (1 + 9 + 7 + 5 + 2).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19752.

It is not an unprimeable number, because it can be changed into a prime (19751) 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, 388 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (3090).

2¹⁹⁷⁵² is an apocalyptic number.

19752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19752 is an abundant number, since it is smaller than the sum of its proper divisors (29688).

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 (24720).

19752 is a wasteful number, since it uses less digits than its factorization.

19752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 828 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 19752 is about 140.5418087261. The cubic root of 19752 is about 27.0315132733.

The spelling of 19752 in words is "nineteen thousand, seven hundred fifty-two".