1503573120072 has 512 divisors, whose sum is σ = 4561666560000. Its totient is φ = 463473239040.

The previous prime is 1503573120059. The next prime is 1503573120097. The reversal of 1503573120072 is 2700213753051.

It is a happy number.

1503573120072 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 573 + 12 + 0 + 0 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1714450098 + ... + 1714450974.

It is an arithmetic number, because the mean of its divisors is an integer number (8909505000).

Almost surely, 2^{1503573120072} is an apocalyptic number.

1503573120072 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 1503573120072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280833280000).

1503573120072 is an abundant number, since it is smaller than the sum of its proper divisors (3058093439928).

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

1503573120072 is a wasteful number, since it uses less digits than its factorization.

1503573120072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 1503573120072 in words is "one trillion, five hundred three billion, five hundred seventy-three million, one hundred twenty thousand, seventy-two".