75644016 has 240 divisors, whose sum is σ = 255816960. Its totient is φ = 18800640.

The previous prime is 75644003. The next prime is 75644029. The reversal of 75644016 is 61044657.

It is an interprime number because it is at equal distance from previous prime (75644003) and next prime (75644029).

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, 1844956 + ... + 1844996.

It is an arithmetic number, because the mean of its divisors is an integer number (1065904).

Almost surely, 2^75644016 is an apocalyptic number.

75644016 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 75644016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127908480).

75644016 is an abundant number, since it is smaller than the sum of its proper divisors (180172944).

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

75644016 is a wasteful number, since it uses less digits than its factorization.

75644016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 75644016 is about 8697.3568398681. The cubic root of 75644016 is about 422.9199698815.

The spelling of 75644016 in words is "seventy-five million, six hundred forty-four thousand, sixteen".