72828987 has 32 divisors (see below), whose sum is σ = 124353024. Its totient is φ = 36806400.

The previous prime is 72828983. The next prime is 72828989. The reversal of 72828987 is 78982827.

It is a happy number.

It is not a de Polignac number, because 72828987 - 2² = 72828983 is a prime.

It is a super-2 number, since 2×72828987² = 10608122694892338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72828983) 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 31 ways as a sum of consecutive naturals, for example, 4287 + ... + 12807.

It is an arithmetic number, because the mean of its divisors is an integer number (3886032).

Almost surely, 2^72828987 is an apocalyptic number.

72828987 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72828987 is a deficient number, since it is larger than the sum of its proper divisors (51524037).

72828987 is a wasteful number, since it uses less digits than its factorization.

72828987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579.

The product of its digits is 903168, while the sum is 51.

The square root of 72828987 is about 8533.9900984241. The cubic root of 72828987 is about 417.6073076865.

The spelling of 72828987 in words is "seventy-two million, eight hundred twenty-eight thousand, nine hundred eighty-seven".