1503072379872 has 432 divisors, whose sum is σ = 5097525909840. Its totient is φ = 418727522304.

The previous prime is 1503072379829. The next prime is 1503072379889. The reversal of 1503072379872 is 2789732703051.

1503072379872 is a `hidden beast` number, since 15 + 0 + 307 + 237 + 98 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121907404 + ... + 121919732.

It is an arithmetic number, because the mean of its divisors is an integer number (11799828495).

Almost surely, 2^{1503072379872} is an apocalyptic number.

1503072379872 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 1503072379872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548762954920).

1503072379872 is an abundant number, since it is smaller than the sum of its proper divisors (3594453529968).

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

1503072379872 is a wasteful number, since it uses less digits than its factorization.

1503072379872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12575 (or 12557 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 1503072379872 in words is "one trillion, five hundred three billion, seventy-two million, three hundred seventy-nine thousand, eight hundred seventy-two".