72084210 has 32 divisors (see below), whose sum is σ = 188730432. Its totient is φ = 17474880.

The previous prime is 72084209. The next prime is 72084217. The reversal of 72084210 is 1248027.

It is a super-2 number, since 2×72084210² = 10392266662648200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 108889 + ... + 109548.

It is an arithmetic number, because the mean of its divisors is an integer number (5897826).

Almost surely, 2^72084210 is an apocalyptic number.

72084210 is an abundant number, since it is smaller than the sum of its proper divisors (116646222).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72084210 is a wasteful number, since it uses less digits than its factorization.

72084210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218458.

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 72084210 is about 8490.2420460197. The cubic root of 72084210 is about 416.1788901784.

The spelling of 72084210 in words is "seventy-two million, eighty-four thousand, two hundred ten".