1008120072 has 64 divisors (see below), whose sum is σ = 2578752000. Its totient is φ = 328333824.

The previous prime is 1008120067. The next prime is 1008120083. The reversal of 1008120072 is 2700218001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188329 + ... + 193607.

It is an arithmetic number, because the mean of its divisors is an integer number (40293000).

Almost surely, 2^1008120072 is an apocalyptic number.

1008120072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1008120072 is an abundant number, since it is smaller than the sum of its proper divisors (1570631928).

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

1008120072 is a wasteful number, since it uses less digits than its factorization.

1008120072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1008120072 is about 31750.9066327247. The cubic root of 1008120072 is about 1002.6993973639.

Adding to 1008120072 its reverse (2700218001), we get a palindrome (3708338073).

The spelling of 1008120072 in words is "one billion, eight million, one hundred twenty thousand, seventy-two".