78159072 has 48 divisors (see below), whose sum is σ = 208075392. Its totient is φ = 25683840.

The previous prime is 78159061. The next prime is 78159101. The reversal of 78159072 is 27095187.

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

It is a super-2 number, since 2×78159072² = 12217681071802368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78159072.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1083 + ... + 12549.

It is an arithmetic number, because the mean of its divisors is an integer number (4334904).

Almost surely, 2^78159072 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 78159072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104037696).

78159072 is an abundant number, since it is smaller than the sum of its proper divisors (129916320).

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

78159072 is a wasteful number, since it uses less digits than its factorization.

78159072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551 (or 11543 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 78159072 is about 8840.7619581120. The cubic root of 78159072 is about 427.5561240907.

The spelling of 78159072 in words is "seventy-eight million, one hundred fifty-nine thousand, seventy-two".