1531673701272 has 768 divisors, whose sum is σ = 5324102784000. Its totient is φ = 390633062400.

The previous prime is 1531673701189. The next prime is 1531673701291. The reversal of 1531673701272 is 2721073761351.

1531673701272 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 6 + 7 + 370 + 1 + 272 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 733208004 + ... + 733210092.

It is an arithmetic number, because the mean of its divisors is an integer number (6932425500).

Almost surely, 2^{1531673701272} is an apocalyptic number.

1531673701272 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 1531673701272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662051392000).

1531673701272 is an abundant number, since it is smaller than the sum of its proper divisors (3792429082728).

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

1531673701272 is a wasteful number, since it uses less digits than its factorization.

1531673701272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 1531673701272 in words is "one trillion, five hundred thirty-one billion, six hundred seventy-three million, seven hundred one thousand, two hundred seventy-two".