67972146 has 16 divisors (see below), whose sum is σ = 148303008. Its totient is φ = 20597600.

The previous prime is 67972123. The next prime is 67972147. The reversal of 67972146 is 64127976.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67972098 and 67972107.

It is not an unprimeable number, because it can be changed into a prime (67972147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514875 + ... + 515006.

It is an arithmetic number, because the mean of its divisors is an integer number (9268938).

Almost surely, 2^67972146 is an apocalyptic number.

67972146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

67972146 is an abundant number, since it is smaller than the sum of its proper divisors (80330862).

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

67972146 is a wasteful number, since it uses less digits than its factorization.

67972146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029897.

The product of its digits is 127008, while the sum is 42.

The square root of 67972146 is about 8244.5221814245. The cubic root of 67972146 is about 408.1097719820.

The spelling of 67972146 in words is "sixty-seven million, nine hundred seventy-two thousand, one hundred forty-six".