72346857 has 16 divisors (see below), whose sum is σ = 106567680. Its totient is φ = 43290000.

The previous prime is 72346853. The next prime is 72346861. The reversal of 72346857 is 75864327.

It is an interprime number because it is at equal distance from previous prime (72346853) and next prime (72346861).

It is not a de Polignac number, because 72346857 - 2² = 72346853 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72346853) 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, 11269 + ... + 16482.

It is an arithmetic number, because the mean of its divisors is an integer number (6660480).

Almost surely, 2^72346857 is an apocalyptic number.

It is an amenable number.

72346857 is a deficient number, since it is larger than the sum of its proper divisors (34220823).

72346857 is a wasteful number, since it uses less digits than its factorization.

72346857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27844.

The product of its digits is 282240, while the sum is 42.

The square root of 72346857 is about 8505.6955623864. The cubic root of 72346857 is about 416.6837425180.

The spelling of 72346857 in words is "seventy-two million, three hundred forty-six thousand, eight hundred fifty-seven".