68724000 has 288 divisors, whose sum is σ = 257572224. Its totient is φ = 17318400.

The previous prime is 68723989. The next prime is 68724031. The reversal of 68724000 is 42786.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827959 + ... + 828041.

It is an arithmetic number, because the mean of its divisors is an integer number (894348).

Almost surely, 2^68724000 is an apocalyptic number.

68724000 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 68724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112).

68724000 is an abundant number, since it is smaller than the sum of its proper divisors (188848224).

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

68724000 is a wasteful number, since it uses less digits than its factorization.

68724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 68724000 is about 8289.9939686347. The cubic root of 68724000 is about 409.6089867210.

Adding to 68724000 its reverse (42786), we get a palindrome (68766786).

The spelling of 68724000 in words is "sixty-eight million, seven hundred twenty-four thousand".