72824670 has 96 divisors (see below), whose sum is σ = 205051392. Its totient is φ = 18561312.

The previous prime is 72824659. The next prime is 72824677. The reversal of 72824670 is 7642827.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72824677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55239 + ... + 56541.

It is an arithmetic number, because the mean of its divisors is an integer number (2135952).

Almost surely, 2^72824670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72824670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102525696).

72824670 is an abundant number, since it is smaller than the sum of its proper divisors (132226722).

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

72824670 is a wasteful number, since it uses less digits than its factorization.

72824670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72824670 is about 8533.7371649237. The cubic root of 72824670 is about 417.5990561810.

The spelling of 72824670 in words is "seventy-two million, eight hundred twenty-four thousand, six hundred seventy".