75681072 has 60 divisors (see below), whose sum is σ = 213722184. Its totient is φ = 24998400.

The previous prime is 75681043. The next prime is 75681077. The reversal of 75681072 is 27018657.

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 (75681077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13947 + ... + 18597.

Almost surely, 2^75681072 is an apocalyptic number.

75681072 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 75681072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106861092).

75681072 is an abundant number, since it is smaller than the sum of its proper divisors (138041112).

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

75681072 is a wasteful number, since it uses less digits than its factorization.

75681072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 75681072 is about 8699.4868814201. The cubic root of 75681072 is about 422.9890177052.

The spelling of 75681072 in words is "seventy-five million, six hundred eighty-one thousand, seventy-two".