75516672 has 144 divisors (see below), whose sum is σ = 250774272. Its totient is φ = 19599360.

The previous prime is 75516647. The next prime is 75516739. The reversal of 75516672 is 27661557.

It is a self number, because there is not a number n which added to its sum of digits gives 75516672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58498 + ... + 59774.

It is an arithmetic number, because the mean of its divisors is an integer number (1741488).

Almost surely, 2^75516672 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 75516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125387136).

75516672 is an abundant number, since it is smaller than the sum of its proper divisors (175257600).

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

75516672 is a wasteful number, since it uses less digits than its factorization.

75516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1300 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 75516672 is about 8690.0329113301. The cubic root of 75516672 is about 422.6825130254.

The spelling of 75516672 in words is "seventy-five million, five hundred sixteen thousand, six hundred seventy-two".