1072592160 has 96 divisors (see below), whose sum is σ = 3399641280. Its totient is φ = 284249088.

The previous prime is 1072592153. The next prime is 1072592167. The reversal of 1072592160 is 612952701.

It is an interprime number because it is at equal distance from previous prime (1072592153) and next prime (1072592167).

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

It is not an unprimeable number, because it can be changed into a prime (1072592167) 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, 71386 + ... + 85094.

It is an arithmetic number, because the mean of its divisors is an integer number (35412930).

Almost surely, 2^1072592160 is an apocalyptic number.

1072592160 is a gapful number since it is divisible by the number (10) 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 1072592160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699820640).

1072592160 is an abundant number, since it is smaller than the sum of its proper divisors (2327049120).

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

1072592160 is a wasteful number, since it uses less digits than its factorization.

1072592160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13890 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 1072592160 is about 32750.4528212970. The cubic root of 1072592160 is about 1023.6344011426.

The spelling of 1072592160 in words is "one billion, seventy-two million, five hundred ninety-two thousand, one hundred sixty".