45073728 has 126 divisors (see below), whose sum is σ = 150382986. Its totient is φ = 12870144.

The previous prime is 45073703. The next prime is 45073739. The reversal of 45073728 is 82737054.

It can be written as a sum of positive squares in only one way, i.e., 32626944 + 12446784 = 5712^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a junction number, because it is equal to n+sod(n) for n = 45073692 and 45073701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27426 + ... + 29022.

Almost surely, 2^45073728 is an apocalyptic number.

45073728 is a gapful number since it is divisible by the number (48) 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 45073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75191493).

45073728 is an abundant number, since it is smaller than the sum of its proper divisors (105309258).

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

45073728 is a wasteful number, since it uses less digits than its factorization.

45073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 45073728 is about 6713.6970441032. The cubic root of 45073728 is about 355.8834782567.

It can be divided in two parts, 450 and 73728, that multiplied together give a square (33177600 = 5760²).

The spelling of 45073728 in words is "forty-five million, seventy-three thousand, seven hundred twenty-eight".