759672 has 32 divisors (see below), whose sum is σ = 2110800. Its totient is φ = 253152.

The previous prime is 759659. The next prime is 759673. The reversal of 759672 is 276957.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (759673) by changing a digit.

759672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1543 + ... + 1974.

2⁷⁵⁹⁶⁷² is an apocalyptic number.

759672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

759672 is an abundant number, since it is smaller than the sum of its proper divisors (1351128).

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

759672 is a wasteful number, since it uses less digits than its factorization.

759672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3522 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 759672 is about 871.5916475047. The cubic root of 759672 is about 91.2449224672.

It can be divided in two parts, 759 and 672, that added together give a triangular number (1431 = T₅₃).

The spelling of 759672 in words is "seven hundred fifty-nine thousand, six hundred seventy-two".