78072064 has 72 divisors (see below), whose sum is σ = 187557440. Its totient is φ = 31684608.

The previous prime is 78072037. The next prime is 78072149. The reversal of 78072064 is 46027087.

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, 32902 + ... + 35194.

Almost surely, 2^78072064 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 78072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93778720).

78072064 is an abundant number, since it is smaller than the sum of its proper divisors (109485376).

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

78072064 is a wasteful number, since it uses less digits than its factorization.

78072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 78072064 is about 8835.8397450384. The cubic root of 78072064 is about 427.3974109474.

The spelling of 78072064 in words is "seventy-eight million, seventy-two thousand, sixty-four".