78054732 has 144 divisors (see below), whose sum is σ = 244984320. Its totient is φ = 21013344.

The previous prime is 78054731. The next prime is 78054751. The reversal of 78054732 is 23745087.

78054732 is a `hidden beast` number, since 7 + 80 + 547 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (78054731) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1164963 + ... + 1165029.

It is an arithmetic number, because the mean of its divisors is an integer number (1701280).

Almost surely, 2^78054732 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 78054732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122492160).

78054732 is an abundant number, since it is smaller than the sum of its proper divisors (166929588).

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

78054732 is a wasteful number, since it uses less digits than its factorization.

78054732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 102 counting only the distinct ones).

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

The square root of 78054732 is about 8834.8589122860. The cubic root of 78054732 is about 427.3657811950.

The spelling of 78054732 in words is "seventy-eight million, fifty-four thousand, seven hundred thirty-two".