75735072 has 72 divisors (see below), whose sum is σ = 246145536. Its totient is φ = 21638016.

The previous prime is 75735071. The next prime is 75735103. The reversal of 75735072 is 27053757.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×75735072² = 11471602261690368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (75735071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16768 + ... + 20799.

It is an arithmetic number, because the mean of its divisors is an integer number (3418688).

Almost surely, 2^75735072 is an apocalyptic number.

75735072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75735072 is an abundant number, since it is smaller than the sum of its proper divisors (170410464).

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

75735072 is a wasteful number, since it uses less digits than its factorization.

75735072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37590 (or 37579 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 75735072 is about 8702.5899593167. The cubic root of 75735072 is about 423.0895975724.

The spelling of 75735072 in words is "seventy-five million, seven hundred thirty-five thousand, seventy-two".