1072764672 has 288 divisors, whose sum is σ = 3472379904. Its totient is φ = 287539200.

The previous prime is 1072764661. The next prime is 1072764683. The reversal of 1072764672 is 2764672701.

1072764672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1072764661) and next prime (1072764683).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6832818 + ... + 6832974.

Almost surely, 2^1072764672 is an apocalyptic number.

1072764672 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 1072764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736189952).

1072764672 is an abundant number, since it is smaller than the sum of its proper divisors (2399615232).

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

1072764672 is a wasteful number, since it uses less digits than its factorization.

1072764672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 1072764672 is about 32753.0864499821. The cubic root of 1072764672 is about 1023.6892774687.

The spelling of 1072764672 in words is "one billion, seventy-two million, seven hundred sixty-four thousand, six hundred seventy-two".