72133576 has 24 divisors (see below), whose sum is σ = 142749270. Its totient is φ = 34167168.

The previous prime is 72133573. The next prime is 72133591. The reversal of 72133576 is 67533127.

It can be written as a sum of positive squares in only one way, i.e., 71808676 + 324900 = 8474^2 + 570^2 .

It is a super-3 number, since 3×72133576³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72133573) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9601 + ... + 15376.

Almost surely, 2^72133576 is an apocalyptic number.

72133576 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72133576 is a deficient number, since it is larger than the sum of its proper divisors (70615694).

72133576 is a wasteful number, since it uses less digits than its factorization.

72133576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25021 (or 24998 counting only the distinct ones).

The product of its digits is 26460, while the sum is 34.

The square root of 72133576 is about 8493.1487682720. The cubic root of 72133576 is about 416.2738735267.

The spelling of 72133576 in words is "seventy-two million, one hundred thirty-three thousand, five hundred seventy-six".