742963072 has 32 divisors (see below), whose sum is σ = 1487190600. Its totient is φ = 369707520.

The previous prime is 742963057. The next prime is 742963147. The reversal of 742963072 is 270369247.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×742963072³ (a number of 28 digits) contains 333 as substring.

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, 13254 + ... + 40762.

Almost surely, 2^742963072 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 742963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743595300).

742963072 is an abundant number, since it is smaller than the sum of its proper divisors (744227528).

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

742963072 is a wasteful number, since it uses less digits than its factorization.

742963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27734 (or 27722 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 742963072 is about 27257.3489539977. The cubic root of 742963072 is about 905.7098190769.

The spelling of 742963072 in words is "seven hundred forty-two million, nine hundred sixty-three thousand, seventy-two".