72519012 has 36 divisors (see below), whose sum is σ = 184200016. Its totient is φ = 24055920.

The previous prime is 72519011. The next prime is 72519047. The reversal of 72519012 is 21091527.

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

It is a super-2 number, since 2×72519012² = 10518014202912288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72519011) 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, 2823 + ... + 12369.

Almost surely, 2^72519012 is an apocalyptic number.

It is an amenable number.

72519012 is an abundant number, since it is smaller than the sum of its proper divisors (111681004).

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

72519012 is a wasteful number, since it uses less digits than its factorization.

72519012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9768 (or 9763 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 72519012 is about 8515.8095328630. The cubic root of 72519012 is about 417.0139912149.

The spelling of 72519012 in words is "seventy-two million, five hundred nineteen thousand, twelve".