72310084 has 54 divisors (see below), whose sum is σ = 161854350. Its totient is φ = 28163520.

The previous prime is 72310057. The next prime is 72310087. The reversal of 72310084 is 48001327.

It can be written as a sum of positive squares in only one way, i.e., 48024900 + 24285184 = 6930^2 + 4928^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (72310087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22192 + ... + 25240.

Almost surely, 2^72310084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72310084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80927175).

72310084 is an abundant number, since it is smaller than the sum of its proper divisors (89544266).

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

72310084 is a wasteful number, since it uses less digits than its factorization.

72310084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 72310084 is about 8503.5336184436. The cubic root of 72310084 is about 416.6131321798.

The spelling of 72310084 in words is "seventy-two million, three hundred ten thousand, eighty-four".