75272976 has 75 divisors (see below), whose sum is σ = 218769573. Its totient is φ = 24986880.

The previous prime is 75272971. The next prime is 75272999. The reversal of 75272976 is 67927257.

The square root of 75272976 is 8676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56610576 + 18662400 = 7524^2 + 4320^2 .

It is not an unprimeable number, because it can be changed into a prime (75272971) 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 14 ways as a sum of consecutive naturals, for example, 312216 + ... + 312456.

Almost surely, 2^75272976 is an apocalyptic number.

75272976 is the 8676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75272976

75272976 is an abundant number, since it is smaller than the sum of its proper divisors (143496597).

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

75272976 is an equidigital number, since it uses as much as digits as its factorization.

75272976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 246 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The cubic root of 75272976 is about 422.2273506713.

The spelling of 75272976 in words is "seventy-five million, two hundred seventy-two thousand, nine hundred seventy-six".