72761120 has 48 divisors (see below), whose sum is σ = 174000960. Its totient is φ = 28748544.

The previous prime is 72761113. The next prime is 72761131. The reversal of 72761120 is 2116727.

It is a self number, because there is not a number n which added to its sum of digits gives 72761120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10541 + ... + 16019.

It is an arithmetic number, because the mean of its divisors is an integer number (3625020).

Almost surely, 2^72761120 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 72761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87000480).

72761120 is an abundant number, since it is smaller than the sum of its proper divisors (101239840).

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

72761120 is a wasteful number, since it uses less digits than its factorization.

72761120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 72761120 is about 8530.0128956526. The cubic root of 72761120 is about 417.4775490814.

Adding to 72761120 its reverse (2116727), we get a palindrome (74877847).

The spelling of 72761120 in words is "seventy-two million, seven hundred sixty-one thousand, one hundred twenty".