139872 has 48 divisors (see below), whose sum is σ = 387072. Its totient is φ = 44160.

The previous prime is 139871. The next prime is 139883. The reversal of 139872 is 278931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 139872.

It is not an unprimeable number, because it can be changed into a prime (139871) 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 7 ways as a sum of consecutive naturals, for example, 2953 + ... + 2999.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2¹³⁹⁸⁷² is an apocalyptic number.

139872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536).

139872 is an abundant number, since it is smaller than the sum of its proper divisors (247200).

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

139872 is a wasteful number, since it uses less digits than its factorization.

139872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 139872 is about 373.9946523682. The cubic root of 139872 is about 51.9091114494.

The spelling of 139872 in words is "one hundred thirty-nine thousand, eight hundred seventy-two".