1072428717360 has 640 divisors, whose sum is σ = 4517566857216. Its totient is φ = 203218513920.

The previous prime is 1072428717329. The next prime is 1072428717361. The reversal of 1072428717360 is 637178242701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1072428717361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19913029 + ... + 19966811.

Almost surely, 2^{1072428717360} is an apocalyptic number.

1072428717360 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 1072428717360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258783428608).

1072428717360 is an abundant number, since it is smaller than the sum of its proper divisors (3445138139856).

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

1072428717360 is a wasteful number, since it uses less digits than its factorization.

1072428717360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53913 (or 53907 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 1072428717360 in words is "one trillion, seventy-two billion, four hundred twenty-eight million, seven hundred seventeen thousand, three hundred sixty".