742624 has 24 divisors (see below), whose sum is σ = 1527120. Its totient is φ = 354816.

The previous prime is 742619. The next prime is 742657. The reversal of 742624 is 426247.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 232 + ... + 1240.

It is an arithmetic number, because the mean of its divisors is an integer number (63630).

2⁷⁴²⁶²⁴ 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 742624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763560).

742624 is an abundant number, since it is smaller than the sum of its proper divisors (784496).

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

742624 is a wasteful number, since it uses less digits than its factorization.

742624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1034 counting only the distinct ones).

The product of its digits is 2688, while the sum is 25.

The square root of 742624 is about 861.7563460747. The cubic root of 742624 is about 90.5572016100.

Subtracting from 742624 its product of digits (2688), we obtain a triangular number (739936 = T₁₂₁₆).

The spelling of 742624 in words is "seven hundred forty-two thousand, six hundred twenty-four".