75145644 has 120 divisors (see below), whose sum is σ = 237837600. Its totient is φ = 20196864.

The previous prime is 75145613. The next prime is 75145667. The reversal of 75145644 is 44654157.

75145644 is a `hidden beast` number, since 7 + 5 + 1 + 4 + 5 + 644 = 666.

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 = 75145599 and 75145608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37582 + ... + 39530.

It is an arithmetic number, because the mean of its divisors is an integer number (1981980).

Almost surely, 2^75145644 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 75145644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118918800).

75145644 is an abundant number, since it is smaller than the sum of its proper divisors (162691956).

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

75145644 is a wasteful number, since it uses less digits than its factorization.

75145644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1978 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 75145644 is about 8668.6587197790. The cubic root of 75145644 is about 421.9891359332.

The spelling of 75145644 in words is "seventy-five million, one hundred forty-five thousand, six hundred forty-four".