75187072 has 32 divisors (see below), whose sum is σ = 152626680. Its totient is φ = 36880896.

The previous prime is 75187061. The next prime is 75187103. The reversal of 75187072 is 27078157.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1243 + ... + 12325.

Almost surely, 2^75187072 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 75187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76313340).

75187072 is an abundant number, since it is smaller than the sum of its proper divisors (77439608).

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

75187072 is a wasteful number, since it uses less digits than its factorization.

75187072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11150 (or 11138 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 37.

The square root of 75187072 is about 8671.0479182161. The cubic root of 75187072 is about 422.0666696101.

The spelling of 75187072 in words is "seventy-five million, one hundred eighty-seven thousand, seventy-two".