72928417 has 8 divisors (see below), whose sum is σ = 75579840. Its totient is φ = 70286160.

The previous prime is 72928411. The next prime is 72928421. The reversal of 72928417 is 71482927.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72928417 - 2³ = 72928409 is a prime.

It is a super-2 number, since 2×72928417² = 10637108012251778, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72928417.

It is not an unprimeable number, because it can be changed into a prime (72928411) 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 7 ways as a sum of consecutive naturals, for example, 16692 + ... + 20602.

It is an arithmetic number, because the mean of its divisors is an integer number (9447480).

Almost surely, 2^72928417 is an apocalyptic number.

It is an amenable number.

72928417 is a deficient number, since it is larger than the sum of its proper divisors (2651423).

72928417 is a wasteful number, since it uses less digits than its factorization.

72928417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583.

The product of its digits is 56448, while the sum is 40.

The square root of 72928417 is about 8539.8136396528. The cubic root of 72928417 is about 417.7972678215.

The spelling of 72928417 in words is "seventy-two million, nine hundred twenty-eight thousand, four hundred seventeen".