68172720 has 480 divisors, whose sum is σ = 293124096. Its totient is φ = 12902400.

The previous prime is 68172691. The next prime is 68172721. The reversal of 68172720 is 2727186.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68172721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2199105 + ... + 2199135.

Almost surely, 2^68172720 is an apocalyptic number.

68172720 is a gapful number since it is divisible by the number (60) 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 68172720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146562048).

68172720 is an abundant number, since it is smaller than the sum of its proper divisors (224951376).

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

68172720 is a wasteful number, since it uses less digits than its factorization.

68172720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 68172720 is about 8256.6772977996. The cubic root of 68172720 is about 408.5107981447.

The spelling of 68172720 in words is "sixty-eight million, one hundred seventy-two thousand, seven hundred twenty".