1001734272 has 384 divisors, whose sum is σ = 3757777920. Its totient is φ = 248371200.

The previous prime is 1001734271. The next prime is 1001734289. The reversal of 1001734272 is 2724371001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001734271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2039947 + ... + 2040437.

It is an arithmetic number, because the mean of its divisors is an integer number (9785880).

Almost surely, 2^1001734272 is an apocalyptic number.

1001734272 is a gapful number since it is divisible by the number (12) 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 1001734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878888960).

1001734272 is an abundant number, since it is smaller than the sum of its proper divisors (2756043648).

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

1001734272 is a wasteful number, since it uses less digits than its factorization.

1001734272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1001734272 is about 31650.1859710176. The cubic root of 1001734272 is about 1000.5777567995.

The spelling of 1001734272 in words is "one billion, one million, seven hundred thirty-four thousand, two hundred seventy-two".