75987240 has 96 divisors (see below), whose sum is σ = 265200480. Its totient is φ = 17367168.

The previous prime is 75987217. The next prime is 75987257. The reversal of 75987240 is 4278957.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 75987192 and 75987201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582 + ... + 12341.

It is an arithmetic number, because the mean of its divisors is an integer number (2762505).

Almost surely, 2^75987240 is an apocalyptic number.

75987240 is a gapful number since it is divisible by the number (70) 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 75987240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132600240).

75987240 is an abundant number, since it is smaller than the sum of its proper divisors (189213240).

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

75987240 is a wasteful number, since it uses less digits than its factorization.

75987240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12951 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 75987240 is about 8717.0660201699. The cubic root of 75987240 is about 423.5586513491.

The spelling of 75987240 in words is "seventy-five million, nine hundred eighty-seven thousand, two hundred forty".