72133416 has 40 divisors (see below), whose sum is σ = 202042170. Its totient is φ = 24044256.

The previous prime is 72133393. The next prime is 72133441. The reversal of 72133416 is 61433127.

It can be written as a sum of positive squares in only one way, i.e., 51065316 + 21068100 = 7146^2 + 4590^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 72133416.

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 9 ways as a sum of consecutive naturals, for example, 55011 + ... + 56306.

Almost surely, 2^72133416 is an apocalyptic number.

It is an amenable number.

72133416 is an abundant number, since it is smaller than the sum of its proper divisors (129908754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72133416 is a wasteful number, since it uses less digits than its factorization.

72133416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111335 (or 111322 counting only the distinct ones).

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

The square root of 72133416 is about 8493.1393489098. The cubic root of 72133416 is about 416.2735657464.

The spelling of 72133416 in words is "seventy-two million, one hundred thirty-three thousand, four hundred sixteen".