72150084 has 36 divisors (see below), whose sum is σ = 183783600. Its totient is φ = 23864880.

The previous prime is 72150083. The next prime is 72150101. The reversal of 72150084 is 48005127.

72150084 is nontrivially palindromic in base 16.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (72150083) 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 11 ways as a sum of consecutive naturals, for example, 2934 + ... + 12365.

It is an arithmetic number, because the mean of its divisors is an integer number (5105100).

Almost surely, 2^72150084 is an apocalyptic number.

It is an amenable number.

72150084 is an abundant number, since it is smaller than the sum of its proper divisors (111633516).

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

72150084 is a wasteful number, since it uses less digits than its factorization.

72150084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15440 (or 15435 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72150084 is about 8494.1205548309. The cubic root of 72150084 is about 416.3056263078.

It can be divided in two parts, 721 and 50084, that added together give a palindrome (50805).

The spelling of 72150084 in words is "seventy-two million, one hundred fifty thousand, eighty-four".