1072527672 has 64 divisors (see below), whose sum is σ = 2753815680. Its totient is φ = 347905152.

The previous prime is 1072527667. The next prime is 1072527679. The reversal of 1072527672 is 2767252701.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1072527672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072527679) 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, 300603 + ... + 304149.

It is an arithmetic number, because the mean of its divisors is an integer number (43028370).

Almost surely, 2^1072527672 is an apocalyptic number.

1072527672 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 1072527672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376907840).

1072527672 is an abundant number, since it is smaller than the sum of its proper divisors (1681288008).

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

1072527672 is a wasteful number, since it uses less digits than its factorization.

1072527672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 1072527672 is about 32749.4682704926. The cubic root of 1072527672 is about 1023.6138859022.

The spelling of 1072527672 in words is "one billion, seventy-two million, five hundred twenty-seven thousand, six hundred seventy-two".