75291609672 has 128 divisors (see below), whose sum is σ = 223137763200. Its totient is φ = 23440435200.

The previous prime is 75291609647. The next prime is 75291609691. The reversal of 75291609672 is 27690619257.

75291609672 is a `hidden beast` number, since 7 + 5 + 29 + 1 + 609 + 6 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402772 + ... + 559292.

It is an arithmetic number, because the mean of its divisors is an integer number (1743263775).

Almost surely, 2^75291609672 is an apocalyptic number.

75291609672 is a gapful number since it is divisible by the number (72) 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 75291609672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111568881600).

75291609672 is an abundant number, since it is smaller than the sum of its proper divisors (147846153528).

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

75291609672 is a wasteful number, since it uses less digits than its factorization.

75291609672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156684 (or 156674 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 75291609672 in words is "seventy-five billion, two hundred ninety-one million, six hundred nine thousand, six hundred seventy-two".