72938417 has 4 divisors (see below), whose sum is σ = 73107300. Its totient is φ = 72769536.

The previous prime is 72938401. The next prime is 72938423. The reversal of 72938417 is 71483927.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 71483927 = 29 ⋅2464963.

It can be written as a sum of positive squares in 2 ways, for example, as 5550736 + 67387681 = 2356^2 + 8209^2 .

It is a cyclic number.

It is not a de Polignac number, because 72938417 - 2⁴ = 72938401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72938447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83792 + ... + 84657.

It is an arithmetic number, because the mean of its divisors is an integer number (18276825).

Almost surely, 2^72938417 is an apocalyptic number.

It is an amenable number.

72938417 is a deficient number, since it is larger than the sum of its proper divisors (168883).

72938417 is a wasteful number, since it uses less digits than its factorization.

72938417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168882.

The product of its digits is 84672, while the sum is 41.

The square root of 72938417 is about 8540.3991124537. The cubic root of 72938417 is about 417.8163631751.

The spelling of 72938417 in words is "seventy-two million, nine hundred thirty-eight thousand, four hundred seventeen".