72823104 has 224 divisors, whose sum is σ = 236280960. Its totient is φ = 21897216.

The previous prime is 72823097. The next prime is 72823109. The reversal of 72823104 is 40132827.

It is a super-3 number, since 3×72823104³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72823109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086879 + ... + 1086945.

Almost surely, 2^72823104 is an apocalyptic number.

72823104 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118140480).

72823104 is an abundant number, since it is smaller than the sum of its proper divisors (163457856).

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

72823104 is a wasteful number, since it uses less digits than its factorization.

72823104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72823104 is about 8533.6454109601. The cubic root of 72823104 is about 417.5960628510.

It can be divided in two parts, 72823 and 104, that added together give a palindrome (72927).

The spelling of 72823104 in words is "seventy-two million, eight hundred twenty-three thousand, one hundred four".