72267106633 has 4 divisors (see below), whose sum is σ = 72566970388. Its totient is φ = 71967242880.

The previous prime is 72267106619. The next prime is 72267106649. The reversal of 72267106633 is 33660176227.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33660176227 = 149 ⋅225907223.

It can be written as a sum of positive squares in 2 ways, for example, as 26298460224 + 45968646409 = 162168^2 + 214403^2 .

It is a cyclic number.

It is not a de Polignac number, because 72267106633 - 2¹³ = 72267098441 is a prime.

It is a super-2 number, since 2×72267106633² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72267106633.

It is not an unprimeable number, because it can be changed into a prime (72267106603) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149931516 + ... + 149931997.

It is an arithmetic number, because the mean of its divisors is an integer number (18141742597).

Almost surely, 2^72267106633 is an apocalyptic number.

It is an amenable number.

72267106633 is a deficient number, since it is larger than the sum of its proper divisors (299863755).

72267106633 is a wasteful number, since it uses less digits than its factorization.

72267106633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299863754.

The product of its (nonzero) digits is 381024, while the sum is 43.

The spelling of 72267106633 in words is "seventy-two billion, two hundred sixty-seven million, one hundred six thousand, six hundred thirty-three".