45001572 has 96 divisors (see below), whose sum is σ = 132378624. Its totient is φ = 11558400.

The previous prime is 45001543. The next prime is 45001573. The reversal of 45001572 is 27510054.

It is not an unprimeable number, because it can be changed into a prime (45001573) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104197 + ... + 104627.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 2^45001572 is an apocalyptic number.

45001572 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 45001572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66189312).

45001572 is an abundant number, since it is smaller than the sum of its proper divisors (87377052).

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

45001572 is a wasteful number, since it uses less digits than its factorization.

45001572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 45001572 is about 6708.3211014381. The cubic root of 45001572 is about 355.6934722054.

The spelling of 45001572 in words is "forty-five million, one thousand, five hundred seventy-two".