742720416 has 96 divisors (see below), whose sum is σ = 2043740160. Its totient is φ = 235724544.

The previous prime is 742720409. The next prime is 742720417. The reversal of 742720416 is 614027247.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (742720417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580065 + ... + 581343.

It is an arithmetic number, because the mean of its divisors is an integer number (21288960).

Almost surely, 2^742720416 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 742720416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021870080).

742720416 is an abundant number, since it is smaller than the sum of its proper divisors (1301019744).

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

742720416 is a wasteful number, since it uses less digits than its factorization.

742720416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 742720416 is about 27252.8973872504. The cubic root of 742720416 is about 905.6112049998.

The spelling of 742720416 in words is "seven hundred forty-two million, seven hundred twenty thousand, four hundred sixteen".