372736 has 52 divisors (see below), whose sum is σ = 917392. Its totient is φ = 147456.

The previous prime is 372733. The next prime is 372739. The reversal of 372736 is 637273.

It is an interprime number because it is at equal distance from previous prime (372733) and next prime (372739).

It is a tau number, because it is divible by the number of its divisors (52).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3² + 7⁵ + 7⁵ + 2⁷ + 3¹⁰ + 6⁷ .

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (372733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28666 + ... + 28678.

2³⁷²⁷³⁶ 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 372736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458696).

372736 is an abundant number, since it is smaller than the sum of its proper divisors (544656).

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

372736 is an equidigital number, since it uses as much as digits as its factorization.

372736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 22 counting only the distinct ones).

The product of its digits is 5292, while the sum is 28.

The square root of 372736 is about 610.5210889068. The cubic root of 372736 is about 71.9670631244.

The spelling of 372736 in words is "three hundred seventy-two thousand, seven hundred thirty-six".