372749 has 8 divisors (see below), whose sum is σ = 409752. Its totient is φ = 336960.

The previous prime is 372739. The next prime is 372751. The reversal of 372749 is 947273.

372749 = 107² + 108² + ... + 132².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24649 + 348100 = 157^2 + 590^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 372749 - 2⁴ = 372733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372709) 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, 419 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (51219).

2³⁷²⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

372749 is a deficient number, since it is larger than the sum of its proper divisors (37003).

372749 is a wasteful number, since it uses less digits than its factorization.

372749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607.

The product of its digits is 10584, while the sum is 32.

The square root of 372749 is about 610.5317354569. The cubic root of 372749 is about 71.9678997853.

The spelling of 372749 in words is "three hundred seventy-two thousand, seven hundred forty-nine".