72003807 has 12 divisors (see below), whose sum is σ = 104755560. Its totient is φ = 47656368.

The previous prime is 72003797. The next prime is 72003817. The reversal of 72003807 is 70830027.

It is an interprime number because it is at equal distance from previous prime (72003797) and next prime (72003817).

It is not a de Polignac number, because 72003807 - 2¹⁰ = 72002783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72003817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27528 + ... + 30029.

It is an arithmetic number, because the mean of its divisors is an integer number (8729630).

Almost surely, 2^72003807 is an apocalyptic number.

72003807 is a deficient number, since it is larger than the sum of its proper divisors (32751753).

72003807 is a wasteful number, since it uses less digits than its factorization.

72003807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57702 (or 57699 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72003807 is about 8485.5057008996. The cubic root of 72003807 is about 416.0240967766.

The spelling of 72003807 in words is "seventy-two million, three thousand, eight hundred seven".