72972305 has 16 divisors (see below), whose sum is σ = 100588800. Its totient is φ = 49781952.

The previous prime is 72972301. The next prime is 72972311. The reversal of 72972305 is 50327927.

It is a cyclic number.

It is not a de Polignac number, because 72972305 - 2² = 72972301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (72972301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1727 + ... + 12203.

It is an arithmetic number, because the mean of its divisors is an integer number (6286800).

Almost surely, 2^72972305 is an apocalyptic number.

It is an amenable number.

72972305 is a deficient number, since it is larger than the sum of its proper divisors (27616495).

72972305 is a wasteful number, since it uses less digits than its factorization.

72972305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10688.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 72972305 is about 8542.3828642832. The cubic root of 72972305 is about 417.8810605333.

The spelling of 72972305 in words is "seventy-two million, nine hundred seventy-two thousand, three hundred five".