1072067672 has 64 divisors (see below), whose sum is σ = 2239997760. Its totient is φ = 477849600.

The previous prime is 1072067671. The next prime is 1072067747. The reversal of 1072067672 is 2767602701.

It is a super-2 number, since 2×1072067672² = 2298658186694999168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072067671) 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, 437972 + ... + 440412.

It is an arithmetic number, because the mean of its divisors is an integer number (34999965).

Almost surely, 2^1072067672 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 1072067672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119998880).

1072067672 is an abundant number, since it is smaller than the sum of its proper divisors (1167930088).

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

1072067672 is a wasteful number, since it uses less digits than its factorization.

1072067672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 1072067672 is about 32742.4445025108. Note that the first 3 decimals coincide. The cubic root of 1072067672 is about 1023.4675245751.

The spelling of 1072067672 in words is "one billion, seventy-two million, sixty-seven thousand, six hundred seventy-two".