72029903 has 16 divisors (see below), whose sum is σ = 80189952. Its totient is φ = 64152000.

The previous prime is 72029899. The next prime is 72029917. The reversal of 72029903 is 30992027.

It is not a de Polignac number, because 72029903 - 2² = 72029899 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72029903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72029933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217448 + ... + 217778.

It is an arithmetic number, because the mean of its divisors is an integer number (5011872).

Almost surely, 2^72029903 is an apocalyptic number.

72029903 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

72029903 is a deficient number, since it is larger than the sum of its proper divisors (8160049).

72029903 is a wasteful number, since it uses less digits than its factorization.

72029903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686.

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 72029903 is about 8487.0432424962. The cubic root of 72029903 is about 416.0743499229.

The spelling of 72029903 in words is "seventy-two million, twenty-nine thousand, nine hundred three".