75468672 has 160 divisors (see below), whose sum is σ = 233263800. Its totient is φ = 24192000.

The previous prime is 75468671. The next prime is 75468677. The reversal of 75468672 is 27686457.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75468671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300547 + ... + 300797.

Almost surely, 2^75468672 is an apocalyptic number.

75468672 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 75468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116631900).

75468672 is an abundant number, since it is smaller than the sum of its proper divisors (157795128).

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

75468672 is a wasteful number, since it uses less digits than its factorization.

75468672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 285 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 75468672 is about 8687.2706876211. The cubic root of 75468672 is about 422.5929387179.

The spelling of 75468672 in words is "seventy-five million, four hundred sixty-eight thousand, six hundred seventy-two".