72987941 has 8 divisors (see below), whose sum is σ = 79414104. Its totient is φ = 66677760.

The previous prime is 72987923. The next prime is 72987961. The reversal of 72987941 is 14978927.

It can be written as a sum of positive squares in 4 ways, for example, as 1331716 + 71656225 = 1154^2 + 8465^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 72987941 - 2⁶ = 72987877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72987961) 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, 27680 + ... + 30201.

It is an arithmetic number, because the mean of its divisors is an integer number (9926763).

Almost surely, 2^72987941 is an apocalyptic number.

It is an amenable number.

72987941 is a deficient number, since it is larger than the sum of its proper divisors (6426163).

72987941 is a wasteful number, since it uses less digits than its factorization.

72987941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57991.

The product of its digits is 254016, while the sum is 47.

The square root of 72987941 is about 8543.2980165742. The cubic root of 72987941 is about 417.9109052880.

The spelling of 72987941 in words is "seventy-two million, nine hundred eighty-seven thousand, nine hundred forty-one".