149872 has 40 divisors (see below), whose sum is σ = 334800. Its totient is φ = 64512.

The previous prime is 149867. The next prime is 149873. The reversal of 149872 is 278941.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149873) by changing a digit.

149872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5154 + ... + 5182.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2¹⁴⁹⁸⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400).

149872 is an abundant number, since it is smaller than the sum of its proper divisors (184928).

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

149872 is a wasteful number, since it uses less digits than its factorization.

149872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 67 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 149872 is about 387.1330520635. The cubic root of 149872 is about 53.1178107919.

The spelling of 149872 in words is "one hundred forty-nine thousand, eight hundred seventy-two".