78397152 has 48 divisors (see below), whose sum is σ = 208293120. Its totient is φ = 25814912.

The previous prime is 78397147. The next prime is 78397153. The reversal of 78397152 is 25179387.

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

It is a super-2 number, since 2×78397152² = 12292226883422208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78397153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3049 + ... + 12887.

It is an arithmetic number, because the mean of its divisors is an integer number (4339440).

Almost surely, 2^78397152 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 78397152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104146560).

78397152 is an abundant number, since it is smaller than the sum of its proper divisors (129895968).

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

78397152 is a wasteful number, since it uses less digits than its factorization.

78397152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9935 (or 9927 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 78397152 is about 8854.2166226042. The cubic root of 78397152 is about 427.9898096389.

The spelling of 78397152 in words is "seventy-eight million, three hundred ninety-seven thousand, one hundred fifty-two".