75087648 has 120 divisors (see below), whose sum is σ = 225030960. Its totient is φ = 24554880.

The previous prime is 75087643. The next prime is 75087653. The reversal of 75087648 is 84678057.

It is an interprime number because it is at equal distance from previous prime (75087643) and next prime (75087653).

It is not an unprimeable number, because it can be changed into a prime (75087643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152683 + ... + 153173.

It is an arithmetic number, because the mean of its divisors is an integer number (1875258).

Almost surely, 2^75087648 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 75087648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112515480).

75087648 is an abundant number, since it is smaller than the sum of its proper divisors (149943312).

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

75087648 is a wasteful number, since it uses less digits than its factorization.

75087648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 75087648 is about 8665.3129199124. The cubic root of 75087648 is about 421.8805468900.

The spelling of 75087648 in words is "seventy-five million, eighty-seven thousand, six hundred forty-eight".