72045300673152 has 128 divisors (see below), whose sum is σ = 212650177728000. Its totient is φ = 24013239201792.

The previous prime is 72045300673133. The next prime is 72045300673217. The reversal of 72045300673152 is 25137600354027.

72045300673152 is a `hidden beast` number, since 7 + 2 + 0 + 4 + 530 + 0 + 67 + 3 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 72045300673098 and 72045300673107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44157873 + ... + 45760335.

It is an arithmetic number, because the mean of its divisors is an integer number (1661329513500).

Almost surely, 2^{72045300673152} is an apocalyptic number.

72045300673152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72045300673152 is an abundant number, since it is smaller than the sum of its proper divisors (140604877054848).

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

72045300673152 is a wasteful number, since it uses less digits than its factorization.

72045300673152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615495 (or 1615477 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 72045300673152 in words is "seventy-two trillion, forty-five billion, three hundred million, six hundred seventy-three thousand, one hundred fifty-two".