34872 has 16 divisors (see below), whose sum is σ = 87240. Its totient is φ = 11616.

The previous prime is 34871. The next prime is 34877. The reversal of 34872 is 27843.

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: 1453 = 34872 / (3 + 4 + 8 + 7 + 2).

It is a d-powerful number, because it can be written as 3⁶ + 4⁵ + 8 + 7³ + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 703 + ... + 750.

2³⁴⁸⁷² is an apocalyptic number.

It is an amenable number.

34872 is an abundant number, since it is smaller than the sum of its proper divisors (52368).

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 (43620).

34872 is a wasteful number, since it uses less digits than its factorization.

34872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1458 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 34872 is about 186.7404616038. The cubic root of 34872 is about 32.6707385363.

The spelling of 34872 in words is "thirty-four thousand, eight hundred seventy-two".