72529131033 has 24 divisors (see below), whose sum is σ = 105146687360. Its totient is φ = 48176583840.

The previous prime is 72529131023. The next prime is 72529131043. The reversal of 72529131033 is 33013192527.

It is a happy number.

72529131033 is a `hidden beast` number, since 7 + 25 + 291 + 310 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (72529131023) and next prime (72529131043).

It is not a de Polignac number, because 72529131033 - 2⁵ = 72529131001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72529131023) 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, 2866803 + ... + 2891991.

Almost surely, 2^72529131033 is an apocalyptic number.

It is an amenable number.

72529131033 is a deficient number, since it is larger than the sum of its proper divisors (32617556327).

72529131033 is a wasteful number, since it uses less digits than its factorization.

72529131033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26349 (or 26346 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 72529131033 in words is "seventy-two billion, five hundred twenty-nine million, one hundred thirty-one thousand, thirty-three".