72066305 has 16 divisors (see below), whose sum is σ = 89715600. Its totient is φ = 55507200.

The previous prime is 72066299. The next prime is 72066307. The reversal of 72066305 is 50366027.

It can be written as a sum of positive squares in 8 ways, for example, as 274576 + 71791729 = 524^2 + 8473^2 .

It is not a de Polignac number, because 72066305 - 2¹² = 72062209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (72066307) 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, 101291 + ... + 101999.

It is an arithmetic number, because the mean of its divisors is an integer number (5607225).

Almost surely, 2^72066305 is an apocalyptic number.

It is an amenable number.

72066305 is a deficient number, since it is larger than the sum of its proper divisors (17649295).

72066305 is a wasteful number, since it uses less digits than its factorization.

72066305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444.

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 72066305 is about 8489.1875347409. The cubic root of 72066305 is about 416.1444290942.

The spelling of 72066305 in words is "seventy-two million, sixty-six thousand, three hundred five".