72168033 has 48 divisors (see below), whose sum is σ = 116717760. Its totient is φ = 39521664.

The previous prime is 72168017. The next prime is 72168049. The reversal of 72168033 is 33086127.

It is an interprime number because it is at equal distance from previous prime (72168017) and next prime (72168049).

It is not a de Polignac number, because 72168033 - 2⁴ = 72168017 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72168533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459591 + ... + 459747.

It is an arithmetic number, because the mean of its divisors is an integer number (2431620).

Almost surely, 2^72168033 is an apocalyptic number.

It is an amenable number.

72168033 is a deficient number, since it is larger than the sum of its proper divisors (44549727).

72168033 is a wasteful number, since it uses less digits than its factorization.

72168033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 72168033 is about 8495.1770434759. The cubic root of 72168033 is about 416.3401453258.

It can be divided in two parts, 7216803 and 3, that multiplied together give a square (21650409 = 4653²).

The spelling of 72168033 in words is "seventy-two million, one hundred sixty-eight thousand, thirty-three".