75348972 has 72 divisors (see below), whose sum is σ = 198761472. Its totient is φ = 24040800.

The previous prime is 75348971. The next prime is 75348991. The reversal of 75348972 is 27984357.

It is not an unprimeable number, because it can be changed into a prime (75348971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119097 + ... + 119727.

It is an arithmetic number, because the mean of its divisors is an integer number (2760576).

Almost surely, 2^75348972 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 75348972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99380736).

75348972 is an abundant number, since it is smaller than the sum of its proper divisors (123412500).

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

75348972 is a wasteful number, since it uses less digits than its factorization.

75348972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 774 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 75348972 is about 8680.3785631734. The cubic root of 75348972 is about 422.3693972104.

The spelling of 75348972 in words is "seventy-five million, three hundred forty-eight thousand, nine hundred seventy-two".