75657672 has 128 divisors (see below), whose sum is σ = 222969600. Its totient is φ = 23721984.

The previous prime is 75657661. The next prime is 75657679. The reversal of 75657672 is 27675657.

75657672 is a `hidden beast` number, since 7 + 5 + 6 + 576 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (75657679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481818 + ... + 481974.

It is an arithmetic number, because the mean of its divisors is an integer number (1741950).

Almost surely, 2^75657672 is an apocalyptic number.

75657672 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 75657672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111484800).

75657672 is an abundant number, since it is smaller than the sum of its proper divisors (147311928).

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

75657672 is a wasteful number, since it uses less digits than its factorization.

75657672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 75657672 is about 8698.1418705376. The cubic root of 75657672 is about 422.9454182378.

The spelling of 75657672 in words is "seventy-five million, six hundred fifty-seven thousand, six hundred seventy-two".