1012371672 has 128 divisors (see below), whose sum is σ = 2889432000. Its totient is φ = 293314560.

The previous prime is 1012371671. The next prime is 1012371733. The reversal of 1012371672 is 2761732101.

1012371672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012371671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369604 + ... + 372332.

Almost surely, 2^1012371672 is an apocalyptic number.

1012371672 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 1012371672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444716000).

1012371672 is an abundant number, since it is smaller than the sum of its proper divisors (1877060328).

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

1012371672 is a wasteful number, since it uses less digits than its factorization.

1012371672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 1012371672 is about 31817.7886095184. The cubic root of 1012371672 is about 1004.1070001251.

The spelling of 1012371672 in words is "one billion, twelve million, three hundred seventy-one thousand, six hundred seventy-two".