72005285 has 24 divisors (see below), whose sum is σ = 100576728. Its totient is φ = 49280000.

The previous prime is 72005279. The next prime is 72005287. The reversal of 72005285 is 58250027.

It can be written as a sum of positive squares in 4 ways, for example, as 12545764 + 59459521 = 3542^2 + 7711^2 .

It is not a de Polignac number, because 72005285 - 2⁶ = 72005221 is a prime.

It is a super-2 number, since 2×72005285² = 10369522135862450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72005287) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6785 + ... + 13785.

It is an arithmetic number, because the mean of its divisors is an integer number (4190697).

Almost surely, 2^72005285 is an apocalyptic number.

It is an amenable number.

72005285 is a deficient number, since it is larger than the sum of its proper divisors (28571443).

72005285 is a wasteful number, since it uses less digits than its factorization.

72005285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 72005285 is about 8485.5927901355. The cubic root of 72005285 is about 416.0269432900.

The spelling of 72005285 in words is "seventy-two million, five thousand, two hundred eighty-five".