72782017 has 16 divisors (see below), whose sum is σ = 93671424. Its totient is φ = 54882000.

The previous prime is 72781999. The next prime is 72782041. The reversal of 72782017 is 71028727.

It is a cyclic number.

It is not a de Polignac number, because 72782017 - 2⁷ = 72781889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72782077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12859 + ... + 17632.

It is an arithmetic number, because the mean of its divisors is an integer number (5854464).

Almost surely, 2^72782017 is an apocalyptic number.

72782017 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

72782017 is a deficient number, since it is larger than the sum of its proper divisors (20889407).

72782017 is a wasteful number, since it uses less digits than its factorization.

72782017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30540.

The product of its (nonzero) digits is 10976, while the sum is 34.

The square root of 72782017 is about 8531.2377179399. The cubic root of 72782017 is about 417.5175117853.

The spelling of 72782017 in words is "seventy-two million, seven hundred eighty-two thousand, seventeen".