72510516 has 36 divisors (see below), whose sum is σ = 197391012. Its totient is φ = 22310784.

The previous prime is 72510511. The next prime is 72510521. The reversal of 72510516 is 61501527.

It is an interprime number because it is at equal distance from previous prime (72510511) and next prime (72510521).

It can be written as a sum of positive squares in 2 ways, for example, as 5336100 + 67174416 = 2310^2 + 8196^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 72510516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72510511) 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, 77001 + ... + 77936.

Almost surely, 2^72510516 is an apocalyptic number.

It is an amenable number.

72510516 is an abundant number, since it is smaller than the sum of its proper divisors (124880496).

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

72510516 is a wasteful number, since it uses less digits than its factorization.

72510516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154960 (or 154955 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 72510516 is about 8515.3106813551. The cubic root of 72510516 is about 416.9977054201.

The spelling of 72510516 in words is "seventy-two million, five hundred ten thousand, five hundred sixteen".