45259872 has 96 divisors (see below), whose sum is σ = 138765312. Its totient is φ = 12647424.

The previous prime is 45259871. The next prime is 45259891. The reversal of 45259872 is 27895254.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45259871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30868 + ... + 32300.

It is an arithmetic number, because the mean of its divisors is an integer number (1445472).

Almost surely, 2^45259872 is an apocalyptic number.

45259872 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 45259872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69382656).

45259872 is an abundant number, since it is smaller than the sum of its proper divisors (93505440).

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

45259872 is a wasteful number, since it uses less digits than its factorization.

45259872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1492 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 45259872 is about 6727.5457635010. The cubic root of 45259872 is about 356.3727106975.

The spelling of 45259872 in words is "forty-five million, two hundred fifty-nine thousand, eight hundred seventy-two".