78053472 has 108 divisors (see below), whose sum is σ = 258250356. Its totient is φ = 22296960.

The previous prime is 78053431. The next prime is 78053489. The reversal of 78053472 is 27435087.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11347 + ... + 16877.

It is an arithmetic number, because the mean of its divisors is an integer number (2391207).

Almost surely, 2^78053472 is an apocalyptic number.

78053472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78053472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129125178).

78053472 is an abundant number, since it is smaller than the sum of its proper divisors (180196884).

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

78053472 is a wasteful number, since it uses less digits than its factorization.

78053472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 78053472 is about 8834.7876035590. The cubic root of 78053472 is about 427.3634815959.

The spelling of 78053472 in words is "seventy-eight million, fifty-three thousand, four hundred seventy-two".