72657431755257 has 8 divisors (see below), whose sum is σ = 96876661937440. Its totient is φ = 48438244704960.

The previous prime is 72657431755213. The next prime is 72657431755301. The reversal of 72657431755257 is 75255713475627.

It is an interprime number because it is at equal distance from previous prime (72657431755213) and next prime (72657431755301).

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

It is not a de Polignac number, because 72657431755257 - 2¹⁰ = 72657431754233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72657431756257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6623119 + ... + 13754292.

It is an arithmetic number, because the mean of its divisors is an integer number (12109582742180).

Almost surely, 2^{72657431755257} is an apocalyptic number.

It is an amenable number.

72657431755257 is a deficient number, since it is larger than the sum of its proper divisors (24219230182183).

72657431755257 is a wasteful number, since it uses less digits than its factorization.

72657431755257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21565943.

The product of its digits is 432180000, while the sum is 66.

The spelling of 72657431755257 in words is "seventy-two trillion, six hundred fifty-seven billion, four hundred thirty-one million, seven hundred fifty-five thousand, two hundred fifty-seven".