763672 has 32 divisors (see below), whose sum is σ = 1764000. Its totient is φ = 301824.

The previous prime is 763663. The next prime is 763673. The reversal of 763672 is 276367.

763672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763673) 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, 204 + ... + 1252.

It is an arithmetic number, because the mean of its divisors is an integer number (55125).

2⁷⁶³⁶⁷² 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 763672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882000).

763672 is an abundant number, since it is smaller than the sum of its proper divisors (1000328).

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

763672 is a wasteful number, since it uses less digits than its factorization.

763672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1071 counting only the distinct ones).

The product of its digits is 10584, while the sum is 31.

The square root of 763672 is about 873.8832874017. The cubic root of 763672 is about 91.4047901318.

The spelling of 763672 in words is "seven hundred sixty-three thousand, six hundred seventy-two".