72707417 has 8 divisors (see below), whose sum is σ = 73795176. Its totient is φ = 71626752.

The previous prime is 72707377. The next prime is 72707423. The reversal of 72707417 is 71470727.

It can be written as a sum of positive squares in 4 ways, for example, as 13278736 + 59428681 = 3644^2 + 7709^2 .

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 72707417 - 2¹⁴ = 72691033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72707447) 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, 20993 + ... + 24209.

It is an arithmetic number, because the mean of its divisors is an integer number (9224397).

Almost surely, 2^72707417 is an apocalyptic number.

It is an amenable number.

72707417 is a deficient number, since it is larger than the sum of its proper divisors (1087759).

72707417 is a wasteful number, since it uses less digits than its factorization.

72707417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547.

The product of its (nonzero) digits is 19208, while the sum is 35.

The square root of 72707417 is about 8526.8644295544. The cubic root of 72707417 is about 417.3748142009.

The spelling of 72707417 in words is "seventy-two million, seven hundred seven thousand, four hundred seventeen".