72578977987527 has 24 divisors (see below), whose sum is σ = 114605636221440. Its totient is φ = 43895427918480.

The previous prime is 72578977987489. The next prime is 72578977987589.

72578977987527 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 8 + 9 + 7 + 79 + 8 + 7 + 527 = 666.

72578977987527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72578977987527 - 2¹⁰ = 72578977986503 is a prime.

It is a super-3 number, since 3×72578977987527³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72578977987597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765214573 + ... + 765309414.

It is an arithmetic number, because the mean of its divisors is an integer number (4775234842560).

Almost surely, 2^{72578977987527} is an apocalyptic number.

72578977987527 is a deficient number, since it is larger than the sum of its proper divisors (42026658233913).

72578977987527 is a wasteful number, since it uses less digits than its factorization.

72578977987527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530524483 (or 1530524480 counting only the distinct ones).

The product of its digits is 60989241600, while the sum is 90.

The spelling of 72578977987527 in words is "seventy-two trillion, five hundred seventy-eight billion, nine hundred seventy-seven million, nine hundred eighty-seven thousand, five hundred twenty-seven".