742920 has 64 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 192000.

The previous prime is 742913. The next prime is 742943. The reversal of 742920 is 29247.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an unprimeable number.

742920 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 15 ways as a sum of consecutive naturals, for example, 4845 + ... + 4995.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2⁷⁴²⁹²⁰ 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 742920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

742920 is an abundant number, since it is smaller than the sum of its proper divisors (1555320).

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

742920 is a wasteful number, since it uses less digits than its factorization.

742920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 742920 is about 861.9280712449. The cubic root of 742920 is about 90.5692316418.

The spelling of 742920 in words is "seven hundred forty-two thousand, nine hundred twenty".