45036672 has 64 divisors (see below), whose sum is σ = 126684000. Its totient is φ = 14127104.

The previous prime is 45036671. The next prime is 45036701. The reversal of 45036672 is 27663054.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (45036671) 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 7 ways as a sum of consecutive naturals, for example, 3079 + ... + 9977.

Almost surely, 2^45036672 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 45036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63342000).

45036672 is an abundant number, since it is smaller than the sum of its proper divisors (81647328).

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

45036672 is a wasteful number, since it uses less digits than its factorization.

45036672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6933 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 45036672 is about 6710.9367453434. The cubic root of 45036672 is about 355.7859252449.

It can be divided in two parts, 4503 and 6672, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 45036672 in words is "forty-five million, thirty-six thousand, six hundred seventy-two".