72141633 has 6 divisors (see below), whose sum is σ = 104204594. Its totient is φ = 48094416.

The previous prime is 72141631. The next prime is 72141637. The reversal of 72141633 is 33614127.

72141633 is a `hidden beast` number, since 7 + 21 + 4 + 1 + 633 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46009089 + 26132544 = 6783^2 + 5112^2 .

It is not a de Polignac number, because 72141633 - 2¹ = 72141631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72141597 and 72141606.

It is not an unprimeable number, because it can be changed into a prime (72141631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4007860 + ... + 4007877.

Almost surely, 2^72141633 is an apocalyptic number.

It is an amenable number.

72141633 is a deficient number, since it is larger than the sum of its proper divisors (32062961).

72141633 is a wasteful number, since it uses less digits than its factorization.

72141633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015743 (or 8015740 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 72141633 is about 8493.6230785219. The cubic root of 72141633 is about 416.2893715971.

The spelling of 72141633 in words is "seventy-two million, one hundred forty-one thousand, six hundred thirty-three".