75164672 has 44 divisors (see below), whose sum is σ = 163940136. Its totient is φ = 34160640.

The previous prime is 75164671. The next prime is 75164681. The reversal of 75164672 is 27646157.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (75164671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7928 + ... + 14600.

Almost surely, 2^75164672 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 75164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81970068).

75164672 is an abundant number, since it is smaller than the sum of its proper divisors (88775464).

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

75164672 is a wasteful number, since it uses less digits than its factorization.

75164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704 (or 6686 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 75164672 is about 8669.7561672748. The cubic root of 75164672 is about 422.0247509123.

The spelling of 75164672 in words is "seventy-five million, one hundred sixty-four thousand, six hundred seventy-two".