72823648 has 48 divisors (see below), whose sum is σ = 152681760. Its totient is φ = 34072576.

The previous prime is 72823613. The next prime is 72823649. The reversal of 72823648 is 84632827.

It is a self number, because there is not a number n which added to its sum of digits gives 72823648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72823649) 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, 142818 + ... + 143326.

It is an arithmetic number, because the mean of its divisors is an integer number (3180870).

Almost surely, 2^72823648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72823648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76340880).

72823648 is an abundant number, since it is smaller than the sum of its proper divisors (79858112).

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

72823648 is a wasteful number, since it uses less digits than its factorization.

72823648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 72823648 is about 8533.6772847349. The cubic root of 72823648 is about 417.5971026844.

The spelling of 72823648 in words is "seventy-two million, eight hundred twenty-three thousand, six hundred forty-eight".