361472 has 22 divisors (see below), whose sum is σ = 724638. Its totient is φ = 180224.

The previous prime is 361469. The next prime is 361481. The reversal of 361472 is 274163.

361472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 65536 = 544^2 + 256^2 .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361472.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 848 + ... + 1200.

2³⁶¹⁴⁷² is an apocalyptic number.

361472 is a gapful number since it is divisible by the number (32) 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 361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362319).

361472 is an abundant number, since it is smaller than the sum of its proper divisors (363166).

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

361472 is an equidigital number, since it uses as much as digits as its factorization.

361472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 355 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 361472 is about 601.2254152978. The cubic root of 361472 is about 71.2346925154.

The spelling of 361472 in words is "three hundred sixty-one thousand, four hundred seventy-two".