75925440 has 168 divisors, whose sum is σ = 267937488. Its totient is φ = 19722240.

The previous prime is 75925439. The next prime is 75925441. The reversal of 75925440 is 4452957.

It is an interprime number because it is at equal distance from previous prime (75925439) and next prime (75925441).

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

It is a junction number, because it is equal to n+sod(n) for n = 75925395 and 75925404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75925441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117759 + ... + 118401.

It is an arithmetic number, because the mean of its divisors is an integer number (1594866).

Almost surely, 2^75925440 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 75925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133968744).

75925440 is an abundant number, since it is smaller than the sum of its proper divisors (192012048).

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

75925440 is a wasteful number, since it uses less digits than its factorization.

75925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 75925440 is about 8713.5205284661. The cubic root of 75925440 is about 423.4437942402.

The spelling of 75925440 in words is "seventy-five million, nine hundred twenty-five thousand, four hundred forty".