72046 has 16 divisors (see below), whose sum is σ = 123984. Its totient is φ = 31104.

The previous prime is 72043. The next prime is 72047. The reversal of 72046 is 64027.

It is a super-2 number, since 2×72046² = 10381252232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (7749).

2⁷²⁰⁴⁶ is an apocalyptic number.

72046 is a deficient number, since it is larger than the sum of its proper divisors (51938).

72046 is a wasteful number, since it uses less digits than its factorization.

72046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195.

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 72046 is about 268.4138595527. The cubic root of 72046 is about 41.6105341912.

Subtracting from 72046 its sum of digits (19), we obtain a palindrome (72027).

The spelling of 72046 in words is "seventy-two thousand, forty-six".