75067020 has 144 divisors (see below), whose sum is σ = 271766880. Its totient is φ = 17152128.

The previous prime is 75067007. The next prime is 75067021. The reversal of 75067020 is 2076057.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (75067021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25042 + ... + 27878.

It is an arithmetic number, because the mean of its divisors is an integer number (1887270).

Almost surely, 2^75067020 is an apocalyptic number.

75067020 is a gapful number since it is divisible by the number (70) 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 75067020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135883440).

75067020 is an abundant number, since it is smaller than the sum of its proper divisors (196699860).

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

75067020 is a wasteful number, since it uses less digits than its factorization.

75067020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 75067020 is about 8664.1225753102. The cubic root of 75067020 is about 421.8419104911.

The spelling of 75067020 in words is "seventy-five million, sixty-seven thousand, twenty".