72714120 has 64 divisors (see below), whose sum is σ = 219784320. Its totient is φ = 19244544.

The previous prime is 72714113. The next prime is 72714143. The reversal of 72714120 is 2141727.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14229 + ... + 18651.

It is an arithmetic number, because the mean of its divisors is an integer number (3434130).

Almost surely, 2^72714120 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 72714120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109892160).

72714120 is an abundant number, since it is smaller than the sum of its proper divisors (147070200).

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

72714120 is a wasteful number, since it uses less digits than its factorization.

72714120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 72714120 is about 8527.2574723647. The cubic root of 72714120 is about 417.3876399324.

Adding to 72714120 its reverse (2141727), we get a palindrome (74855847).

The spelling of 72714120 in words is "seventy-two million, seven hundred fourteen thousand, one hundred twenty".