72224352 has 96 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 23889024.

The previous prime is 72224351. The next prime is 72224371. The reversal of 72224352 is 25342227.

72224352 is a `hidden beast` number, since 7 + 222 + 435 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (72224351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154423 + ... + 154889.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^72224352 is an apocalyptic number.

72224352 is a gapful number since it is divisible by the number (72) 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 72224352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

72224352 is an abundant number, since it is smaller than the sum of its proper divisors (140060448).

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

72224352 is a wasteful number, since it uses less digits than its factorization.

72224352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 651 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 72224352 is about 8498.4911602001. The cubic root of 72224352 is about 416.4484193212.

Adding to 72224352 its reverse (25342227), we get a palindrome (97566579).

The spelling of 72224352 in words is "seventy-two million, two hundred twenty-four thousand, three hundred fifty-two".