72133578 has 96 divisors (see below), whose sum is σ = 179891712. Its totient is φ = 21481200.

The previous prime is 72133573. The next prime is 72133591. The reversal of 72133578 is 87533127.

72133578 is a `hidden beast` number, since 72 + 13 + 3 + 578 = 666.

It is a Curzon number.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550573 + ... + 550703.

It is an arithmetic number, because the mean of its divisors is an integer number (1873872).

Almost surely, 2^72133578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72133578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89945856).

72133578 is an abundant number, since it is smaller than the sum of its proper divisors (107758134).

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

72133578 is a wasteful number, since it uses less digits than its factorization.

72133578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72133578 is about 8493.1488860140. The cubic root of 72133578 is about 416.2738773739.

The spelling of 72133578 in words is "seventy-two million, one hundred thirty-three thousand, five hundred seventy-eight".