72705017 has 16 divisors (see below), whose sum is σ = 91124352. Its totient is φ = 56353920.

The previous prime is 72705011. The next prime is 72705019. The reversal of 72705017 is 71050727.

It is not a de Polignac number, because 72705017 - 2⁸ = 72704761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72705011) 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, 12773 + ... + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (5695272).

Almost surely, 2^72705017 is an apocalyptic number.

72705017 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

72705017 is a deficient number, since it is larger than the sum of its proper divisors (18419335).

72705017 is a wasteful number, since it uses less digits than its factorization.

72705017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008.

The product of its (nonzero) digits is 3430, while the sum is 29.

The square root of 72705017 is about 8526.7236967079. The cubic root of 72705017 is about 417.3702217736.

The spelling of 72705017 in words is "seventy-two million, seven hundred five thousand, seventeen".