742164192 has 288 divisors, whose sum is σ = 2688940800. Its totient is φ = 192487680.

The previous prime is 742164179. The next prime is 742164217. The reversal of 742164192 is 291461247.

It is a happy number.

742164192 is a `hidden beast` number, since 7 + 4 + 2 + 1 + 641 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086283 + ... + 1086965.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^742164192 is an apocalyptic number.

742164192 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 742164192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344470400).

742164192 is an abundant number, since it is smaller than the sum of its proper divisors (1946776608).

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

742164192 is a wasteful number, since it uses less digits than its factorization.

742164192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 706 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 742164192 is about 27242.6906160166. The cubic root of 742164192 is about 905.3850775210.

The spelling of 742164192 in words is "seven hundred forty-two million, one hundred sixty-four thousand, one hundred ninety-two".