78359072 has 96 divisors (see below), whose sum is σ = 178827264. Its totient is φ = 33465600.

The previous prime is 78359051. The next prime is 78359107. The reversal of 78359072 is 27095387.

It is a super-2 number, since 2×78359072² = 12280288329402368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469133 + ... + 469299.

It is an arithmetic number, because the mean of its divisors is an integer number (1862784).

Almost surely, 2^78359072 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 78359072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89413632).

78359072 is an abundant number, since it is smaller than the sum of its proper divisors (100468192).

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

78359072 is a wasteful number, since it uses less digits than its factorization.

78359072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 78359072 is about 8852.0659735454. The cubic root of 78359072 is about 427.9205023106.

The spelling of 78359072 in words is "seventy-eight million, three hundred fifty-nine thousand, seventy-two".