72759903 has 16 divisors (see below), whose sum is σ = 99473760. Its totient is φ = 47291904.

The previous prime is 72759899. The next prime is 72759919. The reversal of 72759903 is 30995727.

It is not a de Polignac number, because 72759903 - 2² = 72759899 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72759403) 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, 17625 + ... + 21357.

It is an arithmetic number, because the mean of its divisors is an integer number (6217110).

Almost surely, 2^72759903 is an apocalyptic number.

72759903 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

72759903 is a deficient number, since it is larger than the sum of its proper divisors (26713857).

72759903 is a wasteful number, since it uses less digits than its factorization.

72759903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898.

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 72759903 is about 8529.9415590026. The cubic root of 72759903 is about 417.4752214967.

The spelling of 72759903 in words is "seventy-two million, seven hundred fifty-nine thousand, nine hundred three".