68172000 has 384 divisors, whose sum is σ = 264176640. Its totient is φ = 15206400.

The previous prime is 68171993. The next prime is 68172001. The reversal of 68172000 is 27186.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68172001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963989 + ... + 2964011.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^68172000 is an apocalyptic number.

68172000 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 68172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

68172000 is an abundant number, since it is smaller than the sum of its proper divisors (196004640).

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

68172000 is a wasteful number, since it uses less digits than its factorization.

68172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 68172000 is about 8256.6336966103. The cubic root of 68172000 is about 408.5093599897.

Adding to 68172000 its reverse (27186), we get a palindrome (68199186).

The spelling of 68172000 in words is "sixty-eight million, one hundred seventy-two thousand".