45444672 has 336 divisors, whose sum is σ = 174670720. Its totient is φ = 11280384.

The previous prime is 45444661. The next prime is 45444683. The reversal of 45444672 is 27644454.

45444672 is a `hidden beast` number, since 4 + 544 + 46 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (45444661) and next prime (45444683).

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (107520) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2673208 + ... + 2673224.

Almost surely, 2^45444672 is an apocalyptic number.

45444672 is a gapful number since it is divisible by the number (42) 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 45444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87335360).

45444672 is an abundant number, since it is smaller than the sum of its proper divisors (129226048).

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

45444672 is a wasteful number, since it uses less digits than its factorization.

45444672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 45444672 is about 6741.2663498782. The cubic root of 45444672 is about 356.8570856533.

It can be divided in two parts, 4544 and 4672, that added together give a square (9216 = 96²).

The spelling of 45444672 in words is "forty-five million, four hundred forty-four thousand, six hundred seventy-two".