368172000 has 384 divisors, whose sum is σ = 1534740480. Its totient is φ = 83980800.

The previous prime is 368171989. The next prime is 368172047. The reversal of 368172000 is 271863.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755757 + ... + 756243.

It is an arithmetic number, because the mean of its divisors is an integer number (3996720).

Almost surely, 2^368172000 is an apocalyptic number.

368172000 is a gapful number since it is divisible by the number (30) 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 368172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767370240).

368172000 is an abundant number, since it is smaller than the sum of its proper divisors (1166568480).

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

368172000 is a wasteful number, since it uses less digits than its factorization.

368172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 368172000 is about 19187.8086294397. The cubic root of 368172000 is about 716.7212025082.

The spelling of 368172000 in words is "three hundred sixty-eight million, one hundred seventy-two thousand".