1075536072 has 192 divisors, whose sum is σ = 3279144960. Its totient is φ = 316224000.

The previous prime is 1075536047. The next prime is 1075536101. The reversal of 1075536072 is 2706355701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2930433 + ... + 2930799.

It is an arithmetic number, because the mean of its divisors is an integer number (17078880).

Almost surely, 2^1075536072 is an apocalyptic number.

1075536072 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 1075536072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639572480).

1075536072 is an abundant number, since it is smaller than the sum of its proper divisors (2203608888).

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

1075536072 is a wasteful number, since it uses less digits than its factorization.

1075536072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 1075536072 is about 32795.3666239608. The cubic root of 1075536072 is about 1024.5700586689.

The spelling of 1075536072 in words is "one billion, seventy-five million, five hundred thirty-six thousand, seventy-two".