72001868 has 48 divisors (see below), whose sum is σ = 146603520. Its totient is φ = 30691584.

The previous prime is 72001859. The next prime is 72001939. The reversal of 72001868 is 86810027.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28505 + ... + 30927.

It is an arithmetic number, because the mean of its divisors is an integer number (3054240).

Almost surely, 2^72001868 is an apocalyptic number.

It is an amenable number.

72001868 is an abundant number, since it is smaller than the sum of its proper divisors (74601652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72001868 is a wasteful number, since it uses less digits than its factorization.

72001868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 72001868 is about 8485.3914464802. The cubic root of 72001868 is about 416.0203623539.

The spelling of 72001868 in words is "seventy-two million, one thousand, eight hundred sixty-eight".