72017670610657 has 4 divisors (see below), whose sum is σ = 72760120823236. Its totient is φ = 71275220398080.

The previous prime is 72017670610651. The next prime is 72017670610663. The reversal of 72017670610657 is 75601607671027.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (72017670610651) and next prime (72017670610663).

It can be written as a sum of positive squares in 2 ways, for example, as 26139251374336 + 45878419236321 = 5112656^2 + 6773361^2 .

It is a cyclic number.

It is not a de Polignac number, because 72017670610657 - 2³⁵ = 71983310872289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72017670610598 and 72017670610607.

It is not an unprimeable number, because it can be changed into a prime (72017670610651) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 371225106144 + ... + 371225106337.

It is an arithmetic number, because the mean of its divisors is an integer number (18190030205809).

Almost surely, 2^{72017670610657} is an apocalyptic number.

It is an amenable number.

72017670610657 is a deficient number, since it is larger than the sum of its proper divisors (742450212579).

72017670610657 is an equidigital number, since it uses as much as digits as its factorization.

72017670610657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742450212578.

The product of its (nonzero) digits is 5186160, while the sum is 55.

The spelling of 72017670610657 in words is "seventy-two trillion, seventeen billion, six hundred seventy million, six hundred ten thousand, six hundred fifty-seven".