1072510016 has 56 divisors (see below), whose sum is σ = 2209236120. Its totient is φ = 515981312.

The previous prime is 1072510013. The next prime is 1072510027. The reversal of 1072510016 is 6100152701.

It can be written as a sum of positive squares in 4 ways, for example, as 2958400 + 1069551616 = 1720^2 + 32704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1072509973 and 1072510000.

It is not an unprimeable number, because it can be changed into a prime (1072510013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654350 + ... + 655986.

It is an arithmetic number, because the mean of its divisors is an integer number (39450645).

Almost surely, 2^1072510016 is an apocalyptic number.

1072510016 is a gapful number since it is divisible by the number (16) 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 1072510016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104618060).

1072510016 is an abundant number, since it is smaller than the sum of its proper divisors (1136726104).

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

1072510016 is a wasteful number, since it uses less digits than its factorization.

1072510016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 1072510016 is about 32749.1987077547. The cubic root of 1072510016 is about 1023.6082689450.

Adding to 1072510016 its reverse (6100152701), we get a palindrome (7172662717).

The spelling of 1072510016 in words is "one billion, seventy-two million, five hundred ten thousand, sixteen".