75501072 has 70 divisors (see below), whose sum is σ = 219358542. Its totient is φ = 25163136.

The previous prime is 75501067. The next prime is 75501091. The reversal of 75501072 is 27010557.

75501072 is a `hidden beast` number, since 7 + 550 + 107 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53934336 + 21566736 = 7344^2 + 4644^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8428 + ... + 14900.

Almost surely, 2^75501072 is an apocalyptic number.

75501072 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 75501072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109679271).

75501072 is an abundant number, since it is smaller than the sum of its proper divisors (143857470).

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

75501072 is an equidigital number, since it uses as much as digits as its factorization.

75501072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6499 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 75501072 is about 8689.1352849406. The cubic root of 75501072 is about 422.6534055399.

The spelling of 75501072 in words is "seventy-five million, five hundred one thousand, seventy-two".