742392 has 64 divisors (see below), whose sum is σ = 2361600. Its totient is φ = 211680.

The previous prime is 742381. The next prime is 742393. The reversal of 742392 is 293247.

It is a super-2 number, since 2×742392² = 1102291763328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742393) by changing a digit.

742392 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, 1267 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (36900).

2⁷⁴²³⁹² is an apocalyptic number.

742392 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 742392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180800).

742392 is an abundant number, since it is smaller than the sum of its proper divisors (1619208).

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

742392 is a wasteful number, since it uses less digits than its factorization.

742392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 503 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 742392 is about 861.6217267456. The cubic root of 742392 is about 90.5477704313.

The spelling of 742392 in words is "seven hundred forty-two thousand, three hundred ninety-two".