45727000 has 64 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 16624000.

The previous prime is 45726983. The next prime is 45727001. The reversal of 45727000 is 72754.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45727001) 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, 8922 + ... + 13078.

Almost surely, 2^45727000 is an apocalyptic number.

45727000 is a gapful number since it is divisible by the number (40) 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 45727000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378320).

45727000 is an abundant number, since it is smaller than the sum of its proper divisors (71029640).

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

45727000 is a wasteful number, since it uses less digits than its factorization.

45727000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 45727000 is about 6762.1742065700. The cubic root of 45727000 is about 357.5945598887.

Adding to 45727000 its reverse (72754), we get a palindrome (45799754).

It can be divided in two parts, 4572 and 7000, that multiplied together give a triangular number (32004000 = T₈₀₀₀).

The spelling of 45727000 in words is "forty-five million, seven hundred twenty-seven thousand".