75106752 has 224 divisors, whose sum is σ = 245790720. Its totient is φ = 19783680.

The previous prime is 75106729. The next prime is 75106771. The reversal of 75106752 is 25760157.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1597993 + ... + 1598039.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 2^75106752 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 75106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

75106752 is an abundant number, since it is smaller than the sum of its proper divisors (170683968).

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

75106752 is a wasteful number, since it uses less digits than its factorization.

75106752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 75106752 is about 8666.4151758383. The cubic root of 75106752 is about 421.9163225148.

The spelling of 75106752 in words is "seventy-five million, one hundred six thousand, seven hundred fifty-two".