67141872 has 120 divisors (see below), whose sum is σ = 222791296. Its totient is φ = 19175616.

The previous prime is 67141861. The next prime is 67141883. The reversal of 67141872 is 27814176.

It is an interprime number because it is at equal distance from previous prime (67141861) and next prime (67141883).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25983 + ... + 28449.

Almost surely, 2^67141872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67141872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111395648).

67141872 is an abundant number, since it is smaller than the sum of its proper divisors (155649424).

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

67141872 is a wasteful number, since it uses less digits than its factorization.

67141872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2479 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 67141872 is about 8194.0144007684. The cubic root of 67141872 is about 406.4412845302.

The spelling of 67141872 in words is "sixty-seven million, one hundred forty-one thousand, eight hundred seventy-two".