72956105 has 16 divisors (see below), whose sum is σ = 93331200. Its totient is φ = 54587520.

The previous prime is 72956101. The next prime is 72956137. The reversal of 72956105 is 50165927.

It is not a de Polignac number, because 72956105 - 2² = 72956101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72956101) 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, 2645 + ... + 12365.

It is an arithmetic number, because the mean of its divisors is an integer number (5833200).

Almost surely, 2^72956105 is an apocalyptic number.

It is an amenable number.

72956105 is a deficient number, since it is larger than the sum of its proper divisors (20375095).

72956105 is a wasteful number, since it uses less digits than its factorization.

72956105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9824.

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 72956105 is about 8541.4345984735. The cubic root of 72956105 is about 417.8501347631.

The spelling of 72956105 in words is "seventy-two million, nine hundred fifty-six thousand, one hundred five".