45963072 has 112 divisors (see below), whose sum is σ = 137485120. Its totient is φ = 15054336.

The previous prime is 45963059. The next prime is 45963079. The reversal of 45963072 is 27036954.

45963072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45963072² = 4225207975354368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45963079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115578 + ... + 115974.

Almost surely, 2^45963072 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 45963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68742560).

45963072 is an abundant number, since it is smaller than the sum of its proper divisors (91522048).

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

45963072 is a wasteful number, since it uses less digits than its factorization.

45963072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 45963072 is about 6779.6070682599. The cubic root of 45963072 is about 358.2088811492.

The spelling of 45963072 in words is "forty-five million, nine hundred sixty-three thousand, seventy-two".