1045582272 has 84 divisors (see below), whose sum is σ = 3425124976. Its totient is φ = 298736640.

The previous prime is 1045582249. The next prime is 1045582289. The reversal of 1045582272 is 2722855401.

It is a happy number.

1045582272 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 582 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125629 + ... + 133692.

Almost surely, 2^1045582272 is an apocalyptic number.

1045582272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1045582272 is an abundant number, since it is smaller than the sum of its proper divisors (2379542704).

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

1045582272 is a wasteful number, since it uses less digits than its factorization.

1045582272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259346 (or 259333 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1045582272 is about 32335.4646170424. The cubic root of 1045582272 is about 1014.9689045454.

The spelling of 1045582272 in words is "one billion, forty-five million, five hundred eighty-two thousand, two hundred seventy-two".