1003722964272 has 180 divisors, whose sum is σ = 3280671726696. Its totient is φ = 285634944000.

The previous prime is 1003722964259. The next prime is 1003722964313. The reversal of 1003722964272 is 2724692273001.

1003722964272 is a `hidden beast` number, since 1 + 0 + 0 + 372 + 2 + 9 + 6 + 4 + 272 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1487688 + ... + 2054424.

Almost surely, 2^{1003722964272} is an apocalyptic number.

1003722964272 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 1003722964272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640335863348).

1003722964272 is an abundant number, since it is smaller than the sum of its proper divisors (2276948762424).

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

1003722964272 is a wasteful number, since it uses less digits than its factorization.

1003722964272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567016 (or 567000 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1003722964272 in words is "one trillion, three billion, seven hundred twenty-two million, nine hundred sixty-four thousand, two hundred seventy-two".