72532173 has 32 divisors (see below), whose sum is σ = 114260224. Its totient is φ = 40061952.

The previous prime is 72532171. The next prime is 72532193. The reversal of 72532173 is 37123527.

It is not a de Polignac number, because 72532173 - 2¹ = 72532171 is a prime.

It is a super-2 number, since 2×72532173² = 10521832240203858, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72532173.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72532171) 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, 215061 + ... + 215397.

It is an arithmetic number, because the mean of its divisors is an integer number (3570632).

Almost surely, 2^72532173 is an apocalyptic number.

It is an amenable number.

72532173 is a deficient number, since it is larger than the sum of its proper divisors (41728051).

72532173 is a wasteful number, since it uses less digits than its factorization.

72532173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661.

The product of its digits is 8820, while the sum is 30.

The square root of 72532173 is about 8516.5822370244. The cubic root of 72532173 is about 417.0392167340.

The spelling of 72532173 in words is "seventy-two million, five hundred thirty-two thousand, one hundred seventy-three".