75333072 has 80 divisors (see below), whose sum is σ = 201862080. Its totient is φ = 24192000.

The previous prime is 75333053. The next prime is 75333077. The reversal of 75333072 is 27033357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75333077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198579 + ... + 198957.

It is an arithmetic number, because the mean of its divisors is an integer number (2523276).

Almost surely, 2^75333072 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 75333072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100931040).

75333072 is an abundant number, since it is smaller than the sum of its proper divisors (126529008).

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

75333072 is a wasteful number, since it uses less digits than its factorization.

75333072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 30.

The square root of 75333072 is about 8679.4626561787. The cubic root of 75333072 is about 422.3396859188.

The spelling of 75333072 in words is "seventy-five million, three hundred thirty-three thousand, seventy-two".