742032 has 30 divisors (see below), whose sum is σ = 2077062. Its totient is φ = 247296.

The previous prime is 742031. The next prime is 742037. The reversal of 742032 is 230247.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 665856 + 76176 = 816^2 + 276^2 .

It is a super-2 number, since 2×742032² = 1101222978048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 741996 and 742014.

It is not an unprimeable number, because it can be changed into a prime (742031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2433 + ... + 2720.

2⁷⁴²⁰³² is an apocalyptic number.

742032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

742032 is an abundant number, since it is smaller than the sum of its proper divisors (1335030).

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

742032 is a wasteful number, since it uses less digits than its factorization.

742032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 742032 is about 861.4127930325. The cubic root of 742032 is about 90.5331319529.

Adding to 742032 its reverse (230247), we get a palindrome (972279).

The spelling of 742032 in words is "seven hundred forty-two thousand, thirty-two".