30872044812672 has 896 divisors, whose sum is σ = 109809250560000. Its totient is φ = 8455679631360.

The previous prime is 30872044812667. The next prime is 30872044812673. The reversal of 30872044812672 is 27621844027803.

30872044812672 is a `hidden beast` number, since 3 + 0 + 8 + 7 + 2 + 0 + 448 + 126 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30872044812673) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2166604204 + ... + 2166618452.

Almost surely, 2^{30872044812672} is an apocalyptic number.

30872044812672 is a gapful number since it is divisible by the number (32) 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 30872044812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54904625280000).

30872044812672 is an abundant number, since it is smaller than the sum of its proper divisors (78937205747328).

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

30872044812672 is a wasteful number, since it uses less digits than its factorization.

30872044812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14426 (or 14399 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 30872044812672 in words is "thirty trillion, eight hundred seventy-two billion, forty-four million, eight hundred twelve thousand, six hundred seventy-two".