73532746417 has 8 divisors (see below), whose sum is σ = 79192186920. Its totient is φ = 67873745280.

The previous prime is 73532746411. The next prime is 73532746451. The reversal of 73532746417 is 71464723537.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1517803681 + 72014942736 = 38959^2 + 268356^2 .

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 73532746417 - 2³ = 73532746409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73532746411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292317 + ... + 482197.

It is an arithmetic number, because the mean of its divisors is an integer number (9899023365).

Almost surely, 2^73532746417 is an apocalyptic number.

It is an amenable number.

73532746417 is a deficient number, since it is larger than the sum of its proper divisors (5659440503).

73532746417 is a wasteful number, since it uses less digits than its factorization.

73532746417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219683.

The product of its digits is 2963520, while the sum is 49.

The spelling of 73532746417 in words is "seventy-three billion, five hundred thirty-two million, seven hundred forty-six thousand, four hundred seventeen".