72668160 has 264 divisors, whose sum is σ = 268238880. Its totient is φ = 18137088.

The previous prime is 72668159. The next prime is 72668161. The reversal of 72668160 is 6186627.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72668159) and next prime (72668161).

It is a super-2 number, since 2×72668160² = 10561322955571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72668161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875479 + ... + 875561.

Almost surely, 2^72668160 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 72668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134119440).

72668160 is an abundant number, since it is smaller than the sum of its proper divisors (195570720).

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

72668160 is a wasteful number, since it uses less digits than its factorization.

72668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72668160 is about 8524.5621588443. The cubic root of 72668160 is about 417.2996827882.

It can be divided in two parts, 726 and 68160, that added together give a palindrome (68886).

The spelling of 72668160 in words is "seventy-two million, six hundred sixty-eight thousand, one hundred sixty".