249132672 has 80 divisors (see below), whose sum is σ = 741445650. Its totient is φ = 83040768.

The previous prime is 249132661. The next prime is 249132673. The reversal of 249132672 is 276231942.

249132672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 127780416 + 121352256 = 11304^2 + 11016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (249132673) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1647 + ... + 22382.

Almost surely, 2^249132672 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 249132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370722825).

249132672 is an abundant number, since it is smaller than the sum of its proper divisors (492312978).

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

249132672 is an equidigital number, since it uses as much as digits as its factorization.

249132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24055 (or 24034 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 249132672 is about 15783.9371514207. The cubic root of 249132672 is about 629.2311709743.

The spelling of 249132672 in words is "two hundred forty-nine million, one hundred thirty-two thousand, six hundred seventy-two".