72823134 has 32 divisors (see below), whose sum is σ = 149778720. Its totient is φ = 23590400.

The previous prime is 72823133. The next prime is 72823151. The reversal of 72823134 is 43132827.

72823134 = T₄₀₇ + T₄₀₈ + ... + T₇₉₅.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72823133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95314 + ... + 96074.

It is an arithmetic number, because the mean of its divisors is an integer number (4680585).

Almost surely, 2^72823134 is an apocalyptic number.

72823134 is an abundant number, since it is smaller than the sum of its proper divisors (76955586).

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

72823134 is a wasteful number, since it uses less digits than its factorization.

72823134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196.

The product of its digits is 8064, while the sum is 30.

The square root of 72823134 is about 8533.6471687081. The cubic root of 72823134 is about 417.5961201949.

The spelling of 72823134 in words is "seventy-two million, eight hundred twenty-three thousand, one hundred thirty-four".