1071951072 has 48 divisors (see below), whose sum is σ = 2828205072. Its totient is φ = 355496960.

The previous prime is 1071951047. The next prime is 1071951073. The reversal of 1071951072 is 2701591701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1071951072³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071951073) 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, 9429 + ... + 47252.

It is an arithmetic number, because the mean of its divisors is an integer number (58920939).

Almost surely, 2^1071951072 is an apocalyptic number.

1071951072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1071951072 is an abundant number, since it is smaller than the sum of its proper divisors (1756254000).

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

1071951072 is a wasteful number, since it uses less digits than its factorization.

1071951072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56891 (or 56883 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 33.

The square root of 1071951072 is about 32740.6638906422. The cubic root of 1071951072 is about 1023.4304185095.

The spelling of 1071951072 in words is "one billion, seventy-one million, nine hundred fifty-one thousand, seventy-two".