72033345 has 12 divisors (see below), whose sum is σ = 124857876. Its totient is φ = 38417760.

The previous prime is 72033343. The next prime is 72033347. The reversal of 72033345 is 54333027.

It is an interprime number because it is at equal distance from previous prime (72033343) and next prime (72033347).

It can be written as a sum of positive squares in 2 ways, for example, as 7969329 + 64064016 = 2823^2 + 8004^2 .

It is not a de Polignac number, because 72033345 - 2¹ = 72033343 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72033343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 800326 + ... + 800415.

It is an arithmetic number, because the mean of its divisors is an integer number (10404823).

Almost surely, 2^72033345 is an apocalyptic number.

It is an amenable number.

72033345 is a deficient number, since it is larger than the sum of its proper divisors (52824531).

72033345 is a wasteful number, since it uses less digits than its factorization.

72033345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600752 (or 1600749 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 72033345 is about 8487.2460197640. The cubic root of 72033345 is about 416.0809772866.

The spelling of 72033345 in words is "seventy-two million, thirty-three thousand, three hundred forty-five".