742848 has 56 divisors (see below), whose sum is σ = 2029968. Its totient is φ = 239616.

The previous prime is 742817. The next prime is 742891. The reversal of 742848 is 848247.

It is a super-2 number, since 2×742848² = 1103646302208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

742848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10140 + ... + 10212.

2⁷⁴²⁸⁴⁸ 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 742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014984).

742848 is an abundant number, since it is smaller than the sum of its proper divisors (1287120).

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

742848 is a wasteful number, since it uses less digits than its factorization.

742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 742848 is about 861.8863034067. The cubic root of 742848 is about 90.5663057120.

The spelling of 742848 in words is "seven hundred forty-two thousand, eight hundred forty-eight".