757872 has 60 divisors (see below), whose sum is σ = 2240680. Its totient is φ = 238464.

The previous prime is 757829. The next prime is 757879. The reversal of 757872 is 278757.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (757879) by changing a digit.

757872 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 11 ways as a sum of consecutive naturals, for example, 2598 + ... + 2874.

2⁷⁵⁷⁸⁷² is an apocalyptic number.

757872 is a gapful number since it is divisible by the number (72) 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 757872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120340).

757872 is an abundant number, since it is smaller than the sum of its proper divisors (1482808).

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

757872 is a wasteful number, since it uses less digits than its factorization.

757872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its digits is 27440, while the sum is 36.

The square root of 757872 is about 870.5584414616. The cubic root of 757872 is about 91.1727989054.

The spelling of 757872 in words is "seven hundred fifty-seven thousand, eight hundred seventy-two".