1532072256 has 224 divisors, whose sum is σ = 4882018176. Its totient is φ = 417792000.

The previous prime is 1532072237. The next prime is 1532072261. The reversal of 1532072256 is 6522702351.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1125016 + ... + 1126376.

It is an arithmetic number, because the mean of its divisors is an integer number (21794724).

Almost surely, 2^1532072256 is an apocalyptic number.

1532072256 is a gapful number since it is divisible by the number (16) 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 1532072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441009088).

1532072256 is an abundant number, since it is smaller than the sum of its proper divisors (3349945920).

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

1532072256 is a wasteful number, since it uses less digits than its factorization.

1532072256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 1532072256 is about 39141.6945979604. The cubic root of 1532072256 is about 1152.8153467858.

The spelling of 1532072256 in words is "one billion, five hundred thirty-two million, seventy-two thousand, two hundred fifty-six".