742632 has 64 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 215040.

The previous prime is 742619. The next prime is 742657. The reversal of 742632 is 236247.

742632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7608 + ... + 7704.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2⁷⁴²⁶³² 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 742632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

742632 is an abundant number, since it is smaller than the sum of its proper divisors (1374168).

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

742632 is a wasteful number, since it uses less digits than its factorization.

742632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 742632 is about 861.7609877454. The cubic root of 742632 is about 90.5575267880.

Adding to 742632 its reverse (236247), we get a palindrome (978879).

The spelling of 742632 in words is "seven hundred forty-two thousand, six hundred thirty-two".