1070972032 has 64 divisors (see below), whose sum is σ = 2327068800. Its totient is φ = 487977984.

The previous prime is 1070972027. The next prime is 1070972039. The reversal of 1070972032 is 2302790701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1070972032² = 2293962186652418048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1070971985 and 1070972003.

It is not an unprimeable number, because it can be changed into a prime (1070972039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127383 + ... + 135529.

It is an arithmetic number, because the mean of its divisors is an integer number (36360450).

Almost surely, 2^1070972032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163534400).

1070972032 is an abundant number, since it is smaller than the sum of its proper divisors (1256096768).

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

1070972032 is an equidigital number, since it uses as much as digits as its factorization.

1070972032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 1070972032 is about 32725.7090373914. The cubic root of 1070972032 is about 1023.1187486512.

The spelling of 1070972032 in words is "one billion, seventy million, nine hundred seventy-two thousand, thirty-two".