72882007 has 16 divisors (see below), whose sum is σ = 82566144. Its totient is φ = 63756000.

The previous prime is 72881993. The next prime is 72882013. The reversal of 72882007 is 70028827.

It is not a de Polignac number, because 72882007 - 2¹¹ = 72879959 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 (72882037) 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, 30382 + ... + 32692.

It is an arithmetic number, because the mean of its divisors is an integer number (5160384).

Almost surely, 2^72882007 is an apocalyptic number.

72882007 is a deficient number, since it is larger than the sum of its proper divisors (9684137).

72882007 is a wasteful number, since it uses less digits than its factorization.

72882007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430.

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 72882007 is about 8537.0959348012. The cubic root of 72882007 is about 417.7086234285.

The spelling of 72882007 in words is "seventy-two million, eight hundred eighty-two thousand, seven".