763232 has 48 divisors (see below), whose sum is σ = 1687392. Its totient is φ = 337920.

The previous prime is 763223. The next prime is 763237. The reversal of 763232 is 232367.

It is a super-3 number, since 3×763232³ = 1333800779518869504, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 763198 and 763207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763237) 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, 12482 + ... + 12542.

It is an arithmetic number, because the mean of its divisors is an integer number (35154).

2⁷⁶³²³² 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 763232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843696).

763232 is an abundant number, since it is smaller than the sum of its proper divisors (924160).

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

763232 is a wasteful number, since it uses less digits than its factorization.

763232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its digits is 1512, while the sum is 23.

The square root of 763232 is about 873.6315012635. The cubic root of 763232 is about 91.3872320553.

Adding to 763232 its reverse (232367), we get a palindrome (995599).

The spelling of 763232 in words is "seven hundred sixty-three thousand, two hundred thirty-two".