75616128 has 96 divisors (see below), whose sum is σ = 248704560. Its totient is φ = 21602304.

The previous prime is 75616127. The next prime is 75616129. The reversal of 75616128 is 82161657.

It is an interprime number because it is at equal distance from previous prime (75616127) and next prime (75616129).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 75616092 and 75616101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75616127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3376 + ... + 12752.

Almost surely, 2^75616128 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 75616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124352280).

75616128 is an abundant number, since it is smaller than the sum of its proper divisors (173088432).

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

75616128 is a wasteful number, since it uses less digits than its factorization.

75616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9404 (or 9389 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 75616128 is about 8695.7534463668. The cubic root of 75616128 is about 422.8679902605.

It can be divided in two parts, 7561 and 6128, that added together give a square (13689 = 117²).

The spelling of 75616128 in words is "seventy-five million, six hundred sixteen thousand, one hundred twenty-eight".