72002073 has 32 divisors (see below), whose sum is σ = 115218432. Its totient is φ = 39412800.

The previous prime is 72002053. The next prime is 72002087. The reversal of 72002073 is 37020027.

It is not a de Polignac number, because 72002073 - 2¹² = 71997977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72002003) 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 31 ways as a sum of consecutive naturals, for example, 18378 + ... + 21948.

It is an arithmetic number, because the mean of its divisors is an integer number (3600576).

Almost surely, 2^72002073 is an apocalyptic number.

It is an amenable number.

72002073 is a deficient number, since it is larger than the sum of its proper divisors (43216359).

72002073 is a wasteful number, since it uses less digits than its factorization.

72002073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645.

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 72002073 is about 8485.4035260558. The cubic root of 72002073 is about 416.0207571774.

The spelling of 72002073 in words is "seventy-two million, two thousand, seventy-three".