72823000 has 32 divisors (see below), whose sum is σ = 170408160. Its totient is φ = 29128800.

The previous prime is 72822989. The next prime is 72823001. The reversal of 72823000 is 32827.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72823001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35412 + ... + 37411.

It is an arithmetic number, because the mean of its divisors is an integer number (5325255).

Almost surely, 2^72823000 is an apocalyptic number.

It is an amenable number.

72823000 is an abundant number, since it is smaller than the sum of its proper divisors (97585160).

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

72823000 is a wasteful number, since it uses less digits than its factorization.

72823000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72844 (or 72830 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 72823000 is about 8533.6393174308. The cubic root of 72823000 is about 417.5958640587.

Adding to 72823000 its reverse (32827), we get a palindrome (72855827).

The spelling of 72823000 in words is "seventy-two million, eight hundred twenty-three thousand".