1531971072 has 120 divisors (see below), whose sum is σ = 4439738160. Its totient is φ = 508538880.

The previous prime is 1531971061. The next prime is 1531971101. The reversal of 1531971072 is 2701791351.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1432554 + ... + 1433622.

It is an arithmetic number, because the mean of its divisors is an integer number (36997818).

Almost surely, 2^1531971072 is an apocalyptic number.

1531971072 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 1531971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219869080).

1531971072 is an abundant number, since it is smaller than the sum of its proper divisors (2907767088).

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

1531971072 is a wasteful number, since it uses less digits than its factorization.

1531971072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 1531971072 is about 39140.4020418799. The cubic root of 1531971072 is about 1152.7899674266.

The spelling of 1531971072 in words is "one billion, five hundred thirty-one million, nine hundred seventy-one thousand, seventy-two".