720578133 has 64 divisors (see below), whose sum is σ = 1262131200. Its totient is φ = 401345280.

The previous prime is 720578119. The next prime is 720578149. The reversal of 720578133 is 331875027.

720578133 is a `hidden beast` number, since 72 + 0 + 578 + 13 + 3 = 666.

It is not a de Polignac number, because 720578133 - 2⁹ = 720577621 is a prime.

It is a super-6 number, since 6×720578133⁶ (a number of 54 digits) contains 666666 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720578333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215448 + ... + 218766.

It is an arithmetic number, because the mean of its divisors is an integer number (19720800).

Almost surely, 2^720578133 is an apocalyptic number.

It is an amenable number.

720578133 is a deficient number, since it is larger than the sum of its proper divisors (541553067).

720578133 is a wasteful number, since it uses less digits than its factorization.

720578133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3393 counting only the distinct ones).

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

The square root of 720578133 is about 26843.5864407124. The cubic root of 720578133 is about 896.5207784622.

The spelling of 720578133 in words is "seven hundred twenty million, five hundred seventy-eight thousand, one hundred thirty-three".