1072257872 has 80 divisors (see below), whose sum is σ = 2420261760. Its totient is φ = 450717696.

The previous prime is 1072257869. The next prime is 1072257877. The reversal of 1072257872 is 2787522701.

It is a super-2 number, since 2×1072257872² = 2299473888131936768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072257877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2558879 + ... + 2559297.

It is an arithmetic number, because the mean of its divisors is an integer number (30253272).

Almost surely, 2^1072257872 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 1072257872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210130880).

1072257872 is an abundant number, since it is smaller than the sum of its proper divisors (1348003888).

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

1072257872 is a wasteful number, since it uses less digits than its factorization.

1072257872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 41.

The square root of 1072257872 is about 32745.3488605634. The cubic root of 1072257872 is about 1023.5280468777.

The spelling of 1072257872 in words is "one billion, seventy-two million, two hundred fifty-seven thousand, eight hundred seventy-two".