72308133 has 20 divisors (see below), whose sum is σ = 110655468. Its totient is φ = 47027520.

The previous prime is 72308111. The next prime is 72308141. The reversal of 72308133 is 33180327.

It can be written as a sum of positive squares in 2 ways, for example, as 6260004 + 66048129 = 2502^2 + 8127^2 .

It is not a de Polignac number, because 72308133 - 2⁸ = 72307877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72308097 and 72308106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72308153) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7566 + ... + 14207.

Almost surely, 2^72308133 is an apocalyptic number.

It is an amenable number.

72308133 is a deficient number, since it is larger than the sum of its proper divisors (38347335).

72308133 is a wasteful number, since it uses less digits than its factorization.

72308133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21826 (or 21817 counting only the distinct ones).

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

The square root of 72308133 is about 8503.4189006540. The cubic root of 72308133 is about 416.6093852634.

It can be divided in two parts, 7230 and 8133, that multiplied together give a triangular number (58801590 = T₁₀₈₄₄).

The spelling of 72308133 in words is "seventy-two million, three hundred eight thousand, one hundred thirty-three".