75260416 has 160 divisors (see below), whose sum is σ = 197987328. Its totient is φ = 27709440.

The previous prime is 75260413. The next prime is 75260429. The reversal of 75260416 is 61406257.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75260413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906711 + ... + 906793.

Almost surely, 2^75260416 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 75260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

75260416 is an abundant number, since it is smaller than the sum of its proper divisors (122726912).

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

75260416 is a wasteful number, since it uses less digits than its factorization.

75260416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 75260416 is about 8675.2761339337. The cubic root of 75260416 is about 422.2038651709.

The spelling of 75260416 in words is "seventy-five million, two hundred sixty thousand, four hundred sixteen".