1749672 has 48 divisors (see below), whose sum is σ = 4992000. Its totient is φ = 552096.

The previous prime is 1749647. The next prime is 1749673. The reversal of 1749672 is 2769471.

It is a happy number.

It is a super-2 number, since 2×1749672² = 6122704215168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1749673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 729 + ... + 2007.

It is an arithmetic number, because the mean of its divisors is an integer number (104000).

2^1749672 is an apocalyptic number.

1749672 is a gapful number since it is divisible by the number (12) 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 1749672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496000).

1749672 is an abundant number, since it is smaller than the sum of its proper divisors (3242328).

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

1749672 is a wasteful number, since it uses less digits than its factorization.

1749672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1303 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 1749672 is about 1322.7516773756. The cubic root of 1749672 is about 120.4995839130.

It can be divided in two parts, 17496 and 72, that multiplied together give a cube (1259712 = 108³).

The spelling of 1749672 in words is "one million, seven hundred forty-nine thousand, six hundred seventy-two".