742682952 has 128 divisors (see below), whose sum is σ = 2261635200. Its totient is φ = 223948800.

The previous prime is 742682951. The next prime is 742682987. The reversal of 742682952 is 259286247.

It is a junction number, because it is equal to n+sod(n) for n = 742682898 and 742682907.

It is not an unprimeable number, because it can be changed into a prime (742682951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571968 + ... + 573264.

It is an arithmetic number, because the mean of its divisors is an integer number (17669025).

Almost surely, 2^742682952 is an apocalyptic number.

742682952 is a gapful number since it is divisible by the number (72) 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 742682952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130817600).

742682952 is an abundant number, since it is smaller than the sum of its proper divisors (1518952248).

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

742682952 is a wasteful number, since it uses less digits than its factorization.

742682952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1554 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 742682952 is about 27252.2100388207. The cubic root of 742682952 is about 905.5959779202.

The spelling of 742682952 in words is "seven hundred forty-two million, six hundred eighty-two thousand, nine hundred fifty-two".