45480672 has 72 divisors (see below), whose sum is σ = 131321736. Its totient is φ = 14927616.

The previous prime is 45480641. The next prime is 45480703. The reversal of 45480672 is 27608454.

It is an interprime number because it is at equal distance from previous prime (45480641) and next prime (45480703).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18118 + ... + 20474.

It is an arithmetic number, because the mean of its divisors is an integer number (1823913).

Almost surely, 2^45480672 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 45480672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65660868).

45480672 is an abundant number, since it is smaller than the sum of its proper divisors (85841064).

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

45480672 is a wasteful number, since it uses less digits than its factorization.

45480672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45480672 is about 6743.9359427563. The cubic root of 45480672 is about 356.9512915209.

The spelling of 45480672 in words is "forty-five million, four hundred eighty thousand, six hundred seventy-two".