72824022 has 80 divisors (see below), whose sum is σ = 178561152. Its totient is φ = 22083840.

The previous prime is 72823981. The next prime is 72824027. The reversal of 72824022 is 22042827.

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 (72824027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84948 + ... + 85800.

Almost surely, 2^72824022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72824022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280576).

72824022 is an abundant number, since it is smaller than the sum of its proper divisors (105737130).

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

72824022 is a wasteful number, since it uses less digits than its factorization.

72824022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 72824022 is about 8533.6991978860. The cubic root of 72824022 is about 417.5978175669.

Adding to 72824022 its reverse (22042827), we get a palindrome (94866849).

The spelling of 72824022 in words is "seventy-two million, eight hundred twenty-four thousand, twenty-two".