72000257 has 6 divisors (see below), whose sum is σ = 83755458. Its totient is φ = 61714464.

The previous prime is 72000251. The next prime is 72000263. The reversal of 72000257 is 75200027.

It is an interprime number because it is at equal distance from previous prime (72000251) and next prime (72000263).

It can be written as a sum of positive squares in only one way, i.e., 71385601 + 614656 = 8449^2 + 784^2 .

It is not a de Polignac number, because 72000257 - 2⁴ = 72000241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72000251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 734648 + ... + 734745.

It is an arithmetic number, because the mean of its divisors is an integer number (13959243).

Almost surely, 2^72000257 is an apocalyptic number.

It is an amenable number.

72000257 is a deficient number, since it is larger than the sum of its proper divisors (11755201).

72000257 is a wasteful number, since it uses less digits than its factorization.

72000257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469407 (or 1469400 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 72000257 is about 8485.2965180953. The cubic root of 72000257 is about 416.0172595927.

The spelling of 72000257 in words is "seventy-two million, two hundred fifty-seven", and thus it is an aban number.