45723312 has 80 divisors (see below), whose sum is σ = 133786080. Its totient is φ = 14946048.

The previous prime is 45723311. The next prime is 45723313. The reversal of 45723312 is 21332754.

It is an interprime number because it is at equal distance from previous prime (45723311) and next prime (45723313).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45723311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21898 + ... + 23894.

It is an arithmetic number, because the mean of its divisors is an integer number (1672326).

Almost surely, 2^45723312 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 45723312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66893040).

45723312 is an abundant number, since it is smaller than the sum of its proper divisors (88062768).

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

45723312 is a wasteful number, since it uses less digits than its factorization.

45723312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2055 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 45723312 is about 6761.9015077122. The cubic root of 45723312 is about 357.5849459903.

The spelling of 45723312 in words is "forty-five million, seven hundred twenty-three thousand, three hundred twelve".