72729045 has 12 divisors (see below), whose sum is σ = 126063756. Its totient is φ = 38788800.

The previous prime is 72729023. The next prime is 72729061. The reversal of 72729045 is 54092727.

It can be written as a sum of positive squares in 2 ways, for example, as 16793604 + 55935441 = 4098^2 + 7479^2 .

It is not a de Polignac number, because 72729045 - 2⁷ = 72728917 is a prime.

It is a super-2 number, since 2×72729045² = 10579027973224050, which contains 22 as substring.

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, 808056 + ... + 808145.

It is an arithmetic number, because the mean of its divisors is an integer number (10505313).

Almost surely, 2^72729045 is an apocalyptic number.

It is an amenable number.

72729045 is a deficient number, since it is larger than the sum of its proper divisors (53334711).

72729045 is a wasteful number, since it uses less digits than its factorization.

72729045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616212 (or 1616209 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72729045 is about 8528.1325622905. The cubic root of 72729045 is about 417.4161950665.

The spelling of 72729045 in words is "seventy-two million, seven hundred twenty-nine thousand, forty-five".