763572 has 48 divisors (see below), whose sum is σ = 1995840. Its totient is φ = 225792.

The previous prime is 763559. The next prime is 763573. The reversal of 763572 is 275367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763573) by changing a digit.

763572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3778 + ... + 3974.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2⁷⁶³⁵⁷² 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 763572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997920).

763572 is an abundant number, since it is smaller than the sum of its proper divisors (1232268).

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

763572 is a wasteful number, since it uses less digits than its factorization.

763572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 763572 is about 873.8260696500. The cubic root of 763572 is about 91.4008002522.

The spelling of 763572 in words is "seven hundred sixty-three thousand, five hundred seventy-two".