75987072 has 192 divisors, whose sum is σ = 259896000. Its totient is φ = 21648384.

The previous prime is 75987049. The next prime is 75987077. The reversal of 75987072 is 27078957.

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

It is a super-2 number, since 2×75987072² = 11548070222266368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75987077) 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, 217554 + ... + 217902.

It is an arithmetic number, because the mean of its divisors is an integer number (1353625).

Almost surely, 2^75987072 is an apocalyptic number.

75987072 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 75987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129948000).

75987072 is an abundant number, since it is smaller than the sum of its proper divisors (183908928).

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

75987072 is an equidigital number, since it uses as much as digits as its factorization.

75987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 75987072 is about 8717.0563838947. The cubic root of 75987072 is about 423.5583392007.

The spelling of 75987072 in words is "seventy-five million, nine hundred eighty-seven thousand, seventy-two".