75679392 has 48 divisors (see below), whose sum is σ = 201398400. Its totient is φ = 24878592.

The previous prime is 75679379. The next prime is 75679403. The reversal of 75679392 is 29397657.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609 + ... + 12407.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 2^75679392 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 75679392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699200).

75679392 is an abundant number, since it is smaller than the sum of its proper divisors (125719008).

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

75679392 is a wasteful number, since it uses less digits than its factorization.

75679392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10885 (or 10877 counting only the distinct ones).

The product of its digits is 714420, while the sum is 48.

The square root of 75679392 is about 8699.3903234652. The cubic root of 75679392 is about 422.9858877865.

The spelling of 75679392 in words is "seventy-five million, six hundred seventy-nine thousand, three hundred ninety-two".