72952417 has 2 divisors, whose sum is σ = 72952418. Its totient is φ = 72952416.

The previous prime is 72952409. The next prime is 72952421. The reversal of 72952417 is 71425927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68956416 + 3996001 = 8304^2 + 1999^2 .

It is a cyclic number.

It is not a de Polignac number, because 72952417 - 2³ = 72952409 is a prime.

It is a super-2 number, since 2×72952417² = 10644110292283778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72952427) 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 as a sum of consecutive naturals, namely, 36476208 + 36476209.

It is an arithmetic number, because the mean of its divisors is an integer number (36476209).

Almost surely, 2^72952417 is an apocalyptic number.

It is an amenable number.

72952417 is a deficient number, since it is larger than the sum of its proper divisors (1).

72952417 is an equidigital number, since it uses as much as digits as its factorization.

72952417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 37.

The square root of 72952417 is about 8541.2187069528. The cubic root of 72952417 is about 417.8430937382.

The spelling of 72952417 in words is "seventy-two million, nine hundred fifty-two thousand, four hundred seventeen".