72587213 has 6 divisors (see below), whose sum is σ = 75005262. Its totient is φ = 70244760.

The previous prime is 72587183. The next prime is 72587219. The reversal of 72587213 is 31278527.

It can be written as a sum of positive squares in only one way, i.e., 65966884 + 6620329 = 8122^2 + 2573^2 .

It is not a de Polignac number, because 72587213 - 2¹² = 72583117 is a prime.

It is a super-2 number, since 2×72587213² = 10537806982214738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72587219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36806 + ... + 38727.

It is an arithmetic number, because the mean of its divisors is an integer number (12500877).

Almost surely, 2^72587213 is an apocalyptic number.

It is an amenable number.

72587213 is a deficient number, since it is larger than the sum of its proper divisors (2418049).

72587213 is an equidigital number, since it uses as much as digits as its factorization.

72587213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75595 (or 75564 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 72587213 is about 8519.8129674307. The cubic root of 72587213 is about 417.1446781401.

The spelling of 72587213 in words is "seventy-two million, five hundred eighty-seven thousand, two hundred thirteen".