742976 has 56 divisors (see below), whose sum is σ = 1706880. Its totient is φ = 317952.

The previous prime is 742967. The next prime is 742981. The reversal of 742976 is 679247.

It is an unprimeable number.

742976 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, 15785 + ... + 15831.

It is an arithmetic number, because the mean of its divisors is an integer number (30480).

2⁷⁴²⁹⁷⁶ is an apocalyptic number.

742976 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853440).

742976 is an abundant number, since it is smaller than the sum of its proper divisors (963904).

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

742976 is a wasteful number, since it uses less digits than its factorization.

742976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its digits is 21168, while the sum is 35.

The square root of 742976 is about 861.9605559421. The cubic root of 742976 is about 90.5715072343.

The spelling of 742976 in words is "seven hundred forty-two thousand, nine hundred seventy-six".