72635003 has 12 divisors (see below), whose sum is σ = 84638160. Its totient is φ = 62152272.

The previous prime is 72634997. The next prime is 72635009. The reversal of 72635003 is 30053627.

It is an interprime number because it is at equal distance from previous prime (72634997) and next prime (72635009).

It is not a de Polignac number, because 72635003 - 2⁴ = 72634987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72635009) 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 11 ways as a sum of consecutive naturals, for example, 44225 + ... + 45837.

It is an arithmetic number, because the mean of its divisors is an integer number (7053180).

Almost surely, 2^72635003 is an apocalyptic number.

72635003 is a deficient number, since it is larger than the sum of its proper divisors (12003157).

72635003 is a wasteful number, since it uses less digits than its factorization.

72635003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 72635003 is about 8522.6171449855. The cubic root of 72635003 is about 417.2362046865.

The spelling of 72635003 in words is "seventy-two million, six hundred thirty-five thousand, three".