72860160 has 160 divisors (see below), whose sum is σ = 238645440. Its totient is φ = 18956288.

The previous prime is 72860153. The next prime is 72860233. The reversal of 72860160 is 6106827.

It is a happy number.

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

It is a super-3 number, since 3×72860160³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406951 + ... + 407129.

It is an arithmetic number, because the mean of its divisors is an integer number (1491534).

Almost surely, 2^72860160 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 72860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119322720).

72860160 is an abundant number, since it is smaller than the sum of its proper divisors (165785280).

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

72860160 is a wasteful number, since it uses less digits than its factorization.

72860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 72860160 is about 8535.8163054274. The cubic root of 72860160 is about 417.6668820227. Note that the first 3 decimals are identical.

Adding to 72860160 its reverse (6106827), we get a palindrome (78966987).

The spelling of 72860160 in words is "seventy-two million, eight hundred sixty thousand, one hundred sixty".