46872 has 64 divisors (see below), whose sum is σ = 153600. Its totient is φ = 12960.

The previous prime is 46867. The next prime is 46877. The reversal of 46872 is 27864.

46872 is nontrivially palindromic in base 5.

46872 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46867) and next prime (46877).

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46877) by changing a digit.

46872 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 15 ways as a sum of consecutive naturals, for example, 1497 + ... + 1527.

It is an arithmetic number, because the mean of its divisors is an integer number (2400).

2⁴⁶⁸⁷² is an apocalyptic number.

46872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 216×217.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76800).

46872 is an abundant number, since it is smaller than the sum of its proper divisors (106728).

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

46872 is a wasteful number, since it uses less digits than its factorization.

46872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 43 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 46872 is about 216.4994226320. The cubic root of 46872 is about 36.0554700415.

The spelling of 46872 in words is "forty-six thousand, eight hundred seventy-two".