1072132848 has 100 divisors (see below), whose sum is σ = 3112309728. Its totient is φ = 356313600.

The previous prime is 1072132843. The next prime is 1072132849. The reversal of 1072132848 is 8482312701.

It is a super-2 number, since 2×1072132848² = 2298937687521182208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072132843) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 518665 + ... + 520727.

Almost surely, 2^1072132848 is an apocalyptic number.

1072132848 is a gapful number since it is divisible by the number (18) 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 1072132848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556154864).

1072132848 is an abundant number, since it is smaller than the sum of its proper divisors (2040176880).

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

1072132848 is a wasteful number, since it uses less digits than its factorization.

1072132848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1072132848 is about 32743.4397704334. The cubic root of 1072132848 is about 1023.4882646115.

The spelling of 1072132848 in words is "one billion, seventy-two million, one hundred thirty-two thousand, eight hundred forty-eight".