72235520 has 160 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 23740416.

The previous prime is 72235517. The next prime is 72235523. The reversal of 72235520 is 2553227.

It is an interprime number because it is at equal distance from previous prime (72235517) and next prime (72235523).

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 72235520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72235523) 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, 519611 + ... + 519749.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^72235520 is an apocalyptic number.

72235520 is a gapful number since it is divisible by the number (70) 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 72235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

72235520 is an abundant number, since it is smaller than the sum of its proper divisors (134001280).

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

72235520 is a wasteful number, since it uses less digits than its factorization.

72235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 72235520 is about 8499.1481926132. The cubic root of 72235520 is about 416.4698832555.

Adding to 72235520 its reverse (2553227), we get a palindrome (74788747).

The spelling of 72235520 in words is "seventy-two million, two hundred thirty-five thousand, five hundred twenty".