72133730 has 16 divisors (see below), whose sum is σ = 134318520. Its totient is φ = 27858432.

The previous prime is 72133687. The next prime is 72133751. The reversal of 72133730 is 3733127.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61512649 + 10621081 = 7843^2 + 3259^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72133730.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 124079 + ... + 124658.

Almost surely, 2^72133730 is an apocalyptic number.

72133730 is a deficient number, since it is larger than the sum of its proper divisors (62184790).

72133730 is a wasteful number, since it uses less digits than its factorization.

72133730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248773.

The product of its (nonzero) digits is 2646, while the sum is 26.

The square root of 72133730 is about 8493.1578343982. The cubic root of 72133730 is about 416.2741697647.

Adding to 72133730 its reverse (3733127), we get a palindrome (75866857).

The spelling of 72133730 in words is "seventy-two million, one hundred thirty-three thousand, seven hundred thirty".