45663072 has 96 divisors (see below), whose sum is σ = 147555072. Its totient is φ = 12040704.

The previous prime is 45663067. The next prime is 45663083. The reversal of 45663072 is 27036654.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45663072² = 4170232288954368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6123 + ... + 11349.

It is an arithmetic number, because the mean of its divisors is an integer number (1537032).

Almost surely, 2^45663072 is an apocalyptic number.

45663072 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 45663072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73777536).

45663072 is an abundant number, since it is smaller than the sum of its proper divisors (101892000).

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

45663072 is a wasteful number, since it uses less digits than its factorization.

45663072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5252 counting only the distinct ones).

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

The square root of 45663072 is about 6757.4456712577. The cubic root of 45663072 is about 357.4278387940.

The spelling of 45663072 in words is "forty-five million, six hundred sixty-three thousand, seventy-two".