1001610072 has 48 divisors (see below), whose sum is σ = 2830641840. Its totient is φ = 319353408.

The previous prime is 1001610013. The next prime is 1001610079. The reversal of 1001610072 is 2700161001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001610079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300763 + ... + 304074.

It is an arithmetic number, because the mean of its divisors is an integer number (58971705).

Almost surely, 2^1001610072 is an apocalyptic number.

1001610072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001610072 is an abundant number, since it is smaller than the sum of its proper divisors (1829031768).

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

1001610072 is a wasteful number, since it uses less digits than its factorization.

1001610072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604872 (or 604865 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1001610072 is about 31648.2238364177. The cubic root of 1001610072 is about 1000.5364028872.

Adding to 1001610072 its reverse (2700161001), we get a palindrome (3701771073).

The spelling of 1001610072 in words is "one billion, one million, six hundred ten thousand, seventy-two".