72717120 has 168 divisors, whose sum is σ = 285926784. Its totient is φ = 16616448.

The previous prime is 72717119. The next prime is 72717137. The reversal of 72717120 is 2171727.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18357 + ... + 21963.

Almost surely, 2^72717120 is an apocalyptic number.

72717120 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 72717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142963392).

72717120 is an abundant number, since it is smaller than the sum of its proper divisors (213209664).

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

72717120 is a wasteful number, since it uses less digits than its factorization.

72717120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 72717120 is about 8527.4333770485. The cubic root of 72717120 is about 417.3933799716.

Adding to 72717120 its reverse (2171727), we get a palindrome (74888847).

The spelling of 72717120 in words is "seventy-two million, seven hundred seventeen thousand, one hundred twenty".