45072819 has 24 divisors (see below), whose sum is σ = 71303232. Its totient is φ = 27209520.

The previous prime is 45072803. The next prime is 45072851. The reversal of 45072819 is 91827054.

It is not a de Polignac number, because 45072819 - 2⁴ = 45072803 is a prime.

It is a super-2 number, since 2×45072819² = 4063118025213522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45072869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29652 + ... + 31134.

It is an arithmetic number, because the mean of its divisors is an integer number (2970968).

Almost surely, 2^45072819 is an apocalyptic number.

45072819 is a deficient number, since it is larger than the sum of its proper divisors (26230413).

45072819 is a wasteful number, since it uses less digits than its factorization.

45072819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 45072819 is about 6713.6293463372. The cubic root of 45072819 is about 355.8810858781.

The spelling of 45072819 in words is "forty-five million, seventy-two thousand, eight hundred nineteen".