1072028160 has 720 divisors, whose sum is σ = 4703377536. Its totient is φ = 220594176.

The previous prime is 1072028159. The next prime is 1072028161. The reversal of 1072028160 is 618202701.

1072028160 = 2500² + 2501² + ... + 2660².

It is an interprime number because it is at equal distance from previous prime (1072028159) and next prime (1072028161).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1072028160² = 2298488751665971200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072028161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46609909 + ... + 46609931.

Almost surely, 2^1072028160 is an apocalyptic number.

1072028160 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 1072028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351688768).

1072028160 is an abundant number, since it is smaller than the sum of its proper divisors (3631349376).

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

1072028160 is a wasteful number, since it uses less digits than its factorization.

1072028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1072028160 is about 32741.8411211099. The cubic root of 1072028160 is about 1023.4549508211.

The spelling of 1072028160 in words is "one billion, seventy-two million, twenty-eight thousand, one hundred sixty".