45261072 has 80 divisors (see below), whose sum is σ = 137580480. Its totient is φ = 14197248.

The previous prime is 45261071. The next prime is 45261077. The reversal of 45261072 is 27016254.

45261072 is a `hidden beast` number, since 45 + 2 + 610 + 7 + 2 = 666.

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 (45261071) 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, 4263 + ... + 10425.

It is an arithmetic number, because the mean of its divisors is an integer number (1719756).

Almost surely, 2^45261072 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 45261072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68790240).

45261072 is an abundant number, since it is smaller than the sum of its proper divisors (92319408).

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

45261072 is a wasteful number, since it uses less digits than its factorization.

45261072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45261072 is about 6727.6349484793. The cubic root of 45261072 is about 356.3758602385.

The spelling of 45261072 in words is "forty-five million, two hundred sixty-one thousand, seventy-two".