742016 has 64 divisors (see below), whose sum is σ = 1762560. Its totient is φ = 307200.

The previous prime is 742009. The next prime is 742031. The reversal of 742016 is 610247.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

742016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23921 + ... + 23951.

It is an arithmetic number, because the mean of its divisors is an integer number (27540).

2⁷⁴²⁰¹⁶ 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 742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881280).

742016 is an abundant number, since it is smaller than the sum of its proper divisors (1020544).

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

742016 is a wasteful number, since it uses less digits than its factorization.

742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 742016 is about 861.4035059135. The cubic root of 742016 is about 90.5324812439.

Subtracting from 742016 its reverse (610247), we obtain a square (131769 = 363²).

The spelling of 742016 in words is "seven hundred forty-two thousand, sixteen".