72535666653527 has 12 divisors (see below), whose sum is σ = 92048972154696. Its totient is φ = 56521298690640.

The previous prime is 72535666653511. The next prime is 72535666653557.

It is a happy number.

72535666653527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72535666653527 - 2⁴ = 72535666653511 is a prime.

It is a super-2 number, since 2×72535666653527² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72535666653557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67287259808 + ... + 67287260885.

It is an arithmetic number, because the mean of its divisors is an integer number (7670747679558).

Almost surely, 2^{72535666653527} is an apocalyptic number.

72535666653527 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72535666653527 is a deficient number, since it is larger than the sum of its proper divisors (19513305501169).

72535666653527 is a wasteful number, since it uses less digits than its factorization.

72535666653527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134574520718 (or 134574520711 counting only the distinct ones).

The product of its digits is 1428840000, while the sum is 68.

The spelling of 72535666653527 in words is "seventy-two trillion, five hundred thirty-five billion, six hundred sixty-six million, six hundred fifty-three thousand, five hundred twenty-seven".