72982987 has 16 divisors (see below), whose sum is σ = 91411200. Its totient is φ = 56607840.

The previous prime is 72982969. The next prime is 72983003. The reversal of 72982987 is 78928927.

It is a cyclic number.

It is not a de Polignac number, because 72982987 - 2⁷ = 72982859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72982957) 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 15 ways as a sum of consecutive naturals, for example, 15564 + ... + 19702.

It is an arithmetic number, because the mean of its divisors is an integer number (5713200).

Almost surely, 2^72982987 is an apocalyptic number.

72982987 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72982987 is a deficient number, since it is larger than the sum of its proper divisors (18428213).

72982987 is a wasteful number, since it uses less digits than its factorization.

72982987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386.

The product of its digits is 1016064, while the sum is 52.

The square root of 72982987 is about 8543.0080767842. The cubic root of 72982987 is about 417.9014499477.

The spelling of 72982987 in words is "seventy-two million, nine hundred eighty-two thousand, nine hundred eighty-seven".