75429696 has 224 divisors, whose sum is σ = 234086400. Its totient is φ = 21288960.

The previous prime is 75429691. The next prime is 75429701. The reversal of 75429696 is 69692457.

It is an interprime number because it is at equal distance from previous prime (75429691) and next prime (75429701).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75429691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2433201 + ... + 2433231.

Almost surely, 2^75429696 is an apocalyptic number.

75429696 is a gapful number since it is divisible by the number (76) 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 75429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117043200).

75429696 is an abundant number, since it is smaller than the sum of its proper divisors (158656704).

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

75429696 is a wasteful number, since it uses less digits than its factorization.

75429696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 75429696 is about 8685.0271156744. The cubic root of 75429696 is about 422.5201764345.

The spelling of 75429696 in words is "seventy-five million, four hundred twenty-nine thousand, six hundred ninety-six".