75666240 has 336 divisors, whose sum is σ = 292900608. Its totient is φ = 17805312.

The previous prime is 75666233. The next prime is 75666263. The reversal of 75666240 is 4266657.

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

It is a junction number, because it is equal to n+sod(n) for n = 75666195 and 75666204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1609897 + ... + 1609943.

It is an arithmetic number, because the mean of its divisors is an integer number (871728).

Almost surely, 2^75666240 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 75666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450304).

75666240 is an abundant number, since it is smaller than the sum of its proper divisors (217234368).

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

75666240 is a wasteful number, since it uses less digits than its factorization.

75666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 75666240 is about 8698.6343755787. The cubic root of 75666240 is about 422.9613833935.

The spelling of 75666240 in words is "seventy-five million, six hundred sixty-six thousand, two hundred forty".