72006257 has 8 divisors (see below), whose sum is σ = 75905760. Its totient is φ = 68117760.

The previous prime is 72006247. The next prime is 72006269. The reversal of 72006257 is 75260027.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 72006257 - 2¹⁰ = 72005233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72006247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13073 + ... + 17745.

It is an arithmetic number, because the mean of its divisors is an integer number (9488220).

Almost surely, 2^72006257 is an apocalyptic number.

It is an amenable number.

72006257 is a deficient number, since it is larger than the sum of its proper divisors (3899503).

72006257 is a wasteful number, since it uses less digits than its factorization.

72006257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503.

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 72006257 is about 8485.6500634895. The cubic root of 72006257 is about 416.0288152655.

The spelling of 72006257 in words is "seventy-two million, six thousand, two hundred fifty-seven".