1000072260 has 432 divisors, whose sum is σ = 3675632688. Its totient is φ = 218972160.

The previous prime is 1000072207. The next prime is 1000072289. The reversal of 1000072260 is 622700001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 110124036 + 889948224 = 10494^2 + 29832^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13699584 + ... + 13699656.

It is an arithmetic number, because the mean of its divisors is an integer number (8508409).

Almost surely, 2^1000072260 is an apocalyptic number.

1000072260 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 1000072260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837816344).

1000072260 is an abundant number, since it is smaller than the sum of its proper divisors (2675560428).

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

1000072260 is a wasteful number, since it uses less digits than its factorization.

1000072260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1000072260 is about 31623.9191119633. The cubic root of 1000072260 is about 1000.0240860865.

Adding to 1000072260 its reverse (622700001), we get a palindrome (1622772261).

The spelling of 1000072260 in words is "one billion, seventy-two thousand, two hundred sixty".