72987953 has 8 divisors (see below), whose sum is σ = 78048360. Its totient is φ = 68012800.

The previous prime is 72987923. The next prime is 72987961. The reversal of 72987953 is 35978927.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59089969 + 13897984 = 7687^2 + 3728^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72987953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72987923) 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 7 ways as a sum of consecutive naturals, for example, 19538 + ... + 22971.

It is an arithmetic number, because the mean of its divisors is an integer number (9756045).

Almost surely, 2^72987953 is an apocalyptic number.

It is an amenable number.

72987953 is a deficient number, since it is larger than the sum of its proper divisors (5060407).

72987953 is a wasteful number, since it uses less digits than its factorization.

72987953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42627.

The product of its digits is 952560, while the sum is 50.

The square root of 72987953 is about 8543.2987188790. The cubic root of 72987953 is about 417.9109281910.

It can be divided in two parts, 7298 and 7953, that added together give a palindrome (15251).

The spelling of 72987953 in words is "seventy-two million, nine hundred eighty-seven thousand, nine hundred fifty-three".