75005616 has 160 divisors (see below), whose sum is σ = 241254400. Its totient is φ = 19595520.

The previous prime is 75005603. The next prime is 75005627. The reversal of 75005616 is 61650057.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197715 + ... + 198093.

It is an arithmetic number, because the mean of its divisors is an integer number (1507840).

Almost surely, 2^75005616 is an apocalyptic number.

75005616 is a gapful number since it is divisible by the number (76) 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 75005616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120627200).

75005616 is an abundant number, since it is smaller than the sum of its proper divisors (166248784).

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

75005616 is a wasteful number, since it uses less digits than its factorization.

75005616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 75005616 is about 8660.5782716860. The cubic root of 75005616 is about 421.7268584278.

The spelling of 75005616 in words is "seventy-five million, five thousand, six hundred sixteen".