75740544 has 192 divisors, whose sum is σ = 245044800. Its totient is φ = 22256640.

The previous prime is 75740537. The next prime is 75740549. The reversal of 75740544 is 44504757.

75740544 is a `hidden beast` number, since 75 + 7 + 40 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75740499 and 75740508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75740549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544827 + ... + 544965.

It is an arithmetic number, because the mean of its divisors is an integer number (1276275).

Almost surely, 2^75740544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75740544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122522400).

75740544 is an abundant number, since it is smaller than the sum of its proper divisors (169304256).

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

75740544 is a wasteful number, since it uses less digits than its factorization.

75740544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 75740544 is about 8702.9043428042. The cubic root of 75740544 is about 423.0997869975.

The spelling of 75740544 in words is "seventy-five million, seven hundred forty thousand, five hundred forty-four".