72107520 has 160 divisors (see below), whose sum is σ = 237172320. Its totient is φ = 18677760.

The previous prime is 72107513. The next prime is 72107573. The reversal of 72107520 is 2570127.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314766 + ... + 314994.

It is an arithmetic number, because the mean of its divisors is an integer number (1482327).

Almost surely, 2^72107520 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 72107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118586160).

72107520 is an abundant number, since it is smaller than the sum of its proper divisors (165064800).

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

72107520 is a wasteful number, since it uses less digits than its factorization.

72107520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 72107520 is about 8491.6146874431. The cubic root of 72107520 is about 416.2237455147.

Adding to 72107520 its reverse (2570127), we get a palindrome (74677647).

It can be divided in two parts, 72107 and 520, that added together give a palindrome (72627).

The spelling of 72107520 in words is "seventy-two million, one hundred seven thousand, five hundred twenty".