72076417 has 8 divisors (see below), whose sum is σ = 82440000. Its totient is φ = 61729584.

The previous prime is 72076409. The next prime is 72076493. The reversal of 72076417 is 71467027.

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

It is not a de Polignac number, because 72076417 - 2³ = 72076409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72076117) 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, 7059 + ... + 13927.

It is an arithmetic number, because the mean of its divisors is an integer number (10305000).

Almost surely, 2^72076417 is an apocalyptic number.

It is an amenable number.

72076417 is a deficient number, since it is larger than the sum of its proper divisors (10363583).

72076417 is a wasteful number, since it uses less digits than its factorization.

72076417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375.

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 72076417 is about 8489.7830949913. The cubic root of 72076417 is about 416.1638919841.

The spelling of 72076417 in words is "seventy-two million, seventy-six thousand, four hundred seventeen".