75186072 has 144 divisors (see below), whose sum is σ = 227813040. Its totient is φ = 22374144.

The previous prime is 75186049. The next prime is 75186077. The reversal of 75186072 is 27068157.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75186077) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 450133 + ... + 450299.

It is an arithmetic number, because the mean of its divisors is an integer number (1582035).

Almost surely, 2^75186072 is an apocalyptic number.

75186072 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 75186072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113906520).

75186072 is an abundant number, since it is smaller than the sum of its proper divisors (152626968).

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

75186072 is a wasteful number, since it uses less digits than its factorization.

75186072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 75186072 is about 8670.9902548671. The cubic root of 75186072 is about 422.0647984172.

The spelling of 75186072 in words is "seventy-five million, one hundred eighty-six thousand, seventy-two".