72506163103 has 32 divisors (see below), whose sum is σ = 81166240512. Its totient is φ = 64216224000.

The previous prime is 72506163083. The next prime is 72506163127. The reversal of 72506163103 is 30136160527.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72506163103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72506163133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47606700 + ... + 47608222.

It is an arithmetic number, because the mean of its divisors is an integer number (2536445016).

Almost surely, 2^72506163103 is an apocalyptic number.

72506163103 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

72506163103 is a deficient number, since it is larger than the sum of its proper divisors (8660077409).

72506163103 is a wasteful number, since it uses less digits than its factorization.

72506163103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295.

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 72506163103 in words is "seventy-two billion, five hundred six million, one hundred sixty-three thousand, one hundred three".