72084213 has 12 divisors (see below), whose sum is σ = 104458380. Its totient is φ = 47900736.

The previous prime is 72084209. The next prime is 72084217. The reversal of 72084213 is 31248027.

It is an interprime number because it is at equal distance from previous prime (72084209) and next prime (72084217).

It can be written as a sum of positive squares in 2 ways, for example, as 27688644 + 44395569 = 5262^2 + 6663^2 .

It is not a de Polignac number, because 72084213 - 2² = 72084209 is a prime.

It is a super-2 number, since 2×72084213² = 10392267527658738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72084217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9978 + ... + 15611.

It is an arithmetic number, because the mean of its divisors is an integer number (8704865).

Almost surely, 2^72084213 is an apocalyptic number.

It is an amenable number.

72084213 is a deficient number, since it is larger than the sum of its proper divisors (32374167).

72084213 is a wasteful number, since it uses less digits than its factorization.

72084213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25908 (or 25905 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72084213 is about 8490.2422226931. The cubic root of 72084213 is about 416.1788959519.

The spelling of 72084213 in words is "seventy-two million, eighty-four thousand, two hundred thirteen".