72029173 has 8 divisors (see below), whose sum is σ = 74397528. Its totient is φ = 69698304.

The previous prime is 72029137. The next prime is 72029179. The reversal of 72029173 is 37192027.

It can be written as a sum of positive squares in 4 ways, for example, as 40870449 + 31158724 = 6393^2 + 5582^2 .

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 72029173 - 2²⁵ = 38474741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72029179) 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, 5440 + ... + 13177.

It is an arithmetic number, because the mean of its divisors is an integer number (9299691).

Almost surely, 2^72029173 is an apocalyptic number.

72029173 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

72029173 is a deficient number, since it is larger than the sum of its proper divisors (2368355).

72029173 is a wasteful number, since it uses less digits than its factorization.

72029173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18743.

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 72029173 is about 8487.0002356545. Note that the first 3 decimals coincide. The cubic root of 72029173 is about 416.0729443247.

The spelling of 72029173 in words is "seventy-two million, twenty-nine thousand, one hundred seventy-three".