68067072 has 108 divisors (see below), whose sum is σ = 202797504. Its totient is φ = 21934080.

The previous prime is 68067067. The next prime is 68067091. The reversal of 68067072 is 27076086.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70948 + ... + 71900.

Almost surely, 2^68067072 is an apocalyptic number.

68067072 is a gapful number since it is divisible by the number (62) 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 68067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101398752).

68067072 is an abundant number, since it is smaller than the sum of its proper divisors (134730432).

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

68067072 is a wasteful number, since it uses less digits than its factorization.

68067072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 68067072 is about 8250.2770862560. The cubic root of 68067072 is about 408.2996645107.

The spelling of 68067072 in words is "sixty-eight million, sixty-seven thousand, seventy-two".