72052224 has 80 divisors (see below), whose sum is σ = 195352080. Its totient is φ = 23592960.

The previous prime is 72052223. The next prime is 72052229. The reversal of 72052224 is 42225027.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 72052194 and 72052203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72052223) 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, 93312 + ... + 94080.

It is an arithmetic number, because the mean of its divisors is an integer number (2441901).

Almost surely, 2^72052224 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 72052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97676040).

72052224 is an abundant number, since it is smaller than the sum of its proper divisors (123299856).

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

72052224 is an equidigital number, since it uses as much as digits as its factorization.

72052224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 72052224 is about 8488.3581451303. The cubic root of 72052224 is about 416.1173239102.

The spelling of 72052224 in words is "seventy-two million, fifty-two thousand, two hundred twenty-four".