1076367072 has 96 divisors (see below), whose sum is σ = 3104922240. Its totient is φ = 323781120.

The previous prime is 1076367059. The next prime is 1076367079. The reversal of 1076367072 is 2707636701.

It is a tau number, because it is divible by the number of its divisors (96).

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 1076367072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076367079) 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, 143118 + ... + 150450.

It is an arithmetic number, because the mean of its divisors is an integer number (32342940).

Almost surely, 2^1076367072 is an apocalyptic number.

1076367072 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 1076367072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552461120).

1076367072 is an abundant number, since it is smaller than the sum of its proper divisors (2028555168).

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

1076367072 is a wasteful number, since it uses less digits than its factorization.

1076367072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 1076367072 is about 32808.0336503119. The cubic root of 1076367072 is about 1024.8338646462.

The spelling of 1076367072 in words is "one billion, seventy-six million, three hundred sixty-seven thousand, seventy-two".