1006025046072 has 64 divisors (see below), whose sum is σ = 2573768588160. Its totient is φ = 327515529600.

The previous prime is 1006025046043. The next prime is 1006025046073. The reversal of 1006025046072 is 2706405206001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006025046073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14890047 + ... + 14957457.

It is an arithmetic number, because the mean of its divisors is an integer number (40215134190).

Almost surely, 2^{1006025046072} is an apocalyptic number.

1006025046072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006025046072 is an abundant number, since it is smaller than the sum of its proper divisors (1567743542088).

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

1006025046072 is a wasteful number, since it uses less digits than its factorization.

1006025046072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81924 (or 81920 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 1006025046072 in words is "one trillion, six billion, twenty-five million, forty-six thousand, seventy-two".