75260772 has 48 divisors (see below), whose sum is σ = 197612800. Its totient is φ = 24766560.

The previous prime is 75260753. The next prime is 75260791. The reversal of 75260772 is 27706257.

It is an interprime number because it is at equal distance from previous prime (75260753) and next prime (75260791).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4122 + ... + 12942.

Almost surely, 2^75260772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75260772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98806400).

75260772 is an abundant number, since it is smaller than the sum of its proper divisors (122352028).

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

75260772 is a wasteful number, since it uses less digits than its factorization.

75260772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913 (or 8905 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 75260772 is about 8675.2966519883. The cubic root of 75260772 is about 422.2045308787.

The spelling of 75260772 in words is "seventy-five million, two hundred sixty thousand, seven hundred seventy-two".