72530082673657 has 8 divisors (see below), whose sum is σ = 85565443154432. Its totient is φ = 60163202217600.

The previous prime is 72530082673649. The next prime is 72530082673661. The reversal of 72530082673657 is 75637628003527.

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 72530082673657 - 2³ = 72530082673649 is a prime.

It is a super-2 number, since 2×72530082673657² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72530082673595 and 72530082673604.

It is not an unprimeable number, because it can be changed into a prime (72530082673157) 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, 167120005944 + ... + 167120006377.

It is an arithmetic number, because the mean of its divisors is an integer number (10695680394304).

Almost surely, 2^{72530082673657} is an apocalyptic number.

It is an amenable number.

72530082673657 is a deficient number, since it is larger than the sum of its proper divisors (13035360480775).

72530082673657 is a wasteful number, since it uses less digits than its factorization.

72530082673657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334240012359.

The product of its (nonzero) digits is 88905600, while the sum is 61.

The spelling of 72530082673657 in words is "seventy-two trillion, five hundred thirty billion, eighty-two million, six hundred seventy-three thousand, six hundred fifty-seven".