361872 has 60 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 103104.

The previous prime is 361871. The next prime is 361873. The reversal of 361872 is 278163.

It is an interprime number because it is at equal distance from previous prime (361871) and next prime (361873).

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

It is an alternating number because its digits alternate between odd and even.

It is one of the 548 Lynch-Bell numbers.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361872.

It is not an unprimeable number, because it can be changed into a prime (361871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 829 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (19344).

2³⁶¹⁸⁷² 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 361872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

361872 is an abundant number, since it is smaller than the sum of its proper divisors (798768).

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

361872 is a wasteful number, since it uses less digits than its factorization.

361872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

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

The square root of 361872 is about 601.5579772557. The cubic root of 361872 is about 71.2609586099.

The spelling of 361872 in words is "three hundred sixty-one thousand, eight hundred seventy-two".