45667872 has 72 divisors (see below), whose sum is σ = 130584636. Its totient is φ = 15138816.

The previous prime is 45667871. The next prime is 45667883. The reversal of 45667872 is 27876654.

45667872 is a `hidden beast` number, since 4 + 566 + 7 + 87 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45643536 + 24336 = 6756^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45667871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73708 + ... + 74324.

Almost surely, 2^45667872 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 45667872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65292318).

45667872 is an abundant number, since it is smaller than the sum of its proper divisors (84916764).

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

45667872 is a wasteful number, since it uses less digits than its factorization.

45667872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 879 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 45667872 is about 6757.8008257125. The cubic root of 45667872 is about 357.4403623602.

The spelling of 45667872 in words is "forty-five million, six hundred sixty-seven thousand, eight hundred seventy-two".