67972200 has 48 divisors (see below), whose sum is σ = 210715680. Its totient is φ = 18125760.

The previous prime is 67972193. The next prime is 67972211. The reversal of 67972200 is 227976.

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, 56044 + ... + 57243.

It is an arithmetic number, because the mean of its divisors is an integer number (4389910).

Almost surely, 2^67972200 is an apocalyptic number.

67972200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67972200 is an abundant number, since it is smaller than the sum of its proper divisors (142743480).

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

67972200 is a wasteful number, since it uses less digits than its factorization.

67972200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113306 (or 113297 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 67972200 is about 8244.5254563255. The cubic root of 67972200 is about 408.1098800553.

The spelling of 67972200 in words is "sixty-seven million, nine hundred seventy-two thousand, two hundred".