72275973 has 32 divisors (see below), whose sum is σ = 124035072. Its totient is φ = 36331200.

The previous prime is 72275963. The next prime is 72276011. The reversal of 72275973 is 37957227.

It is not a de Polignac number, because 72275973 - 2⁶ = 72275909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72275923) 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 31 ways as a sum of consecutive naturals, for example, 2115 + ... + 12207.

It is an arithmetic number, because the mean of its divisors is an integer number (3876096).

Almost surely, 2^72275973 is an apocalyptic number.

It is an amenable number.

72275973 is a deficient number, since it is larger than the sum of its proper divisors (51759099).

72275973 is a wasteful number, since it uses less digits than its factorization.

72275973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145.

The product of its digits is 185220, while the sum is 42.

The square root of 72275973 is about 8501.5276862456. The cubic root of 72275973 is about 416.5476119233.

The spelling of 72275973 in words is "seventy-two million, two hundred seventy-five thousand, nine hundred seventy-three".