72033265 has 8 divisors (see below), whose sum is σ = 88776360. Its totient is φ = 56068992.

The previous prime is 72033259. The next prime is 72033271. The reversal of 72033265 is 56233027.

It is an interprime number because it is at equal distance from previous prime (72033259) and next prime (72033271).

It can be written as a sum of positive squares in 4 ways, for example, as 25411681 + 46621584 = 5041^2 + 6828^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72033265 - 2¹⁵ = 72000497 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 194500 + ... + 194869.

It is an arithmetic number, because the mean of its divisors is an integer number (11097045).

Almost surely, 2^72033265 is an apocalyptic number.

It is an amenable number.

72033265 is a deficient number, since it is larger than the sum of its proper divisors (16743095).

72033265 is a wasteful number, since it uses less digits than its factorization.

72033265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389411.

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 72033265 is about 8487.2413068087. The cubic root of 72033265 is about 416.0808232538.

The spelling of 72033265 in words is "seventy-two million, thirty-three thousand, two hundred sixty-five".