75006672 has 80 divisors (see below), whose sum is σ = 211736448. Its totient is φ = 22740480.

The previous prime is 75006653. The next prime is 75006691. The reversal of 75006672 is 27660057.

It is an interprime number because it is at equal distance from previous prime (75006653) and next prime (75006691).

It is a congruent number.

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, 43458 + ... + 45150.

Almost surely, 2^75006672 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 75006672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105868224).

75006672 is an abundant number, since it is smaller than the sum of its proper divisors (136729776).

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

75006672 is a wasteful number, since it uses less digits than its factorization.

75006672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 75006672 is about 8660.6392373773. The cubic root of 75006672 is about 421.7288375751.

The spelling of 75006672 in words is "seventy-five million, six thousand, six hundred seventy-two".