72975417 has 12 divisors (see below), whose sum is σ = 98083440. Its totient is φ = 48261912.

The previous prime is 72975401. The next prime is 72975437. The reversal of 72975417 is 71457927.

It is not a de Polignac number, because 72975417 - 2⁴ = 72975401 is a prime.

It is a super-2 number, since 2×72975417² = 10650822972647778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72975437) 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 11 ways as a sum of consecutive naturals, for example, 57334 + ... + 58592.

It is an arithmetic number, because the mean of its divisors is an integer number (8173620).

Almost surely, 2^72975417 is an apocalyptic number.

It is an amenable number.

72975417 is a deficient number, since it is larger than the sum of its proper divisors (25108023).

72975417 is a wasteful number, since it uses less digits than its factorization.

72975417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1401 counting only the distinct ones).

The product of its digits is 123480, while the sum is 42.

The square root of 72975417 is about 8542.5650129221. The cubic root of 72975417 is about 417.8870008115.

The spelling of 72975417 in words is "seventy-two million, nine hundred seventy-five thousand, four hundred seventeen".