372064 has 48 divisors (see below), whose sum is σ = 919296. Its totient is φ = 144000.

The previous prime is 372061. The next prime is 372067. The reversal of 372064 is 460273.

It is an interprime number because it is at equal distance from previous prime (372061) and next prime (372067).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 3¹⁰ + 7⁵ + 0 + 2¹⁵ + 6⁴ + 4⁹ .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2389 + ... + 2539.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2³⁷²⁰⁶⁴ 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 372064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

372064 is an abundant number, since it is smaller than the sum of its proper divisors (547232).

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

372064 is a wasteful number, since it uses less digits than its factorization.

372064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 372064 is about 609.9704910895. The cubic root of 372064 is about 71.9237876701.

Subtracting 372064 from its reverse (460273), we obtain a square (88209 = 297²).

The spelling of 372064 in words is "three hundred seventy-two thousand, sixty-four".