75267072 has 66 divisors (see below), whose sum is σ = 217358648. Its totient is φ = 25085952.

The previous prime is 75267001. The next prime is 75267079. The reversal of 75267072 is 27076257.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75267079) 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 5 ways as a sum of consecutive naturals, for example, 5133 + ... + 13299.

Almost surely, 2^75267072 is an apocalyptic number.

75267072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75267072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108679324).

75267072 is an abundant number, since it is smaller than the sum of its proper divisors (142091576).

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

75267072 is a wasteful number, since it uses less digits than its factorization.

75267072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8193 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 75267072 is about 8675.6597443653. The cubic root of 75267072 is about 422.2163113156.

The spelling of 75267072 in words is "seventy-five million, two hundred sixty-seven thousand, seventy-two".