72106951527 has 48 divisors (see below), whose sum is σ = 117166533120. Its totient is φ = 42399491904.

The previous prime is 72106951523. The next prime is 72106951559. The reversal of 72106951527 is 72515960127.

72106951527 is a `hidden beast` number, since 7 + 2 + 10 + 69 + 51 + 527 = 666.

It is not a de Polignac number, because 72106951527 - 2² = 72106951523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72106951523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2631624 + ... + 2658882.

It is an arithmetic number, because the mean of its divisors is an integer number (2440969440).

Almost surely, 2^72106951527 is an apocalyptic number.

72106951527 is a deficient number, since it is larger than the sum of its proper divisors (45059581593).

72106951527 is a wasteful number, since it uses less digits than its factorization.

72106951527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28284 (or 28281 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 72106951527 in words is "seventy-two billion, one hundred six million, nine hundred fifty-one thousand, five hundred twenty-seven".