742390272 has 360 divisors, whose sum is σ = 2536970436. Its totient is φ = 214990848.

The previous prime is 742390267. The next prime is 742390273. The reversal of 742390272 is 272093247.

742390272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 740710656 + 1679616 = 27216^2 + 1296^2 .

It is a super-2 number, since 2×742390272² = 1102286631920467968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742390273) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43670008 + ... + 43670024.

Almost surely, 2^742390272 is an apocalyptic number.

742390272 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 742390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268485218).

742390272 is an abundant number, since it is smaller than the sum of its proper divisors (1794580164).

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

742390272 is an frugal number, since it uses more digits than its factorization.

742390272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 742390272 is about 27246.8396699507. The cubic root of 742390272 is about 905.4770017788.

The spelling of 742390272 in words is "seven hundred forty-two million, three hundred ninety thousand, two hundred seventy-two".