78541632 has 168 divisors, whose sum is σ = 257120136. Its totient is φ = 22708224.

The previous prime is 78541627. The next prime is 78541633. The reversal of 78541632 is 23614587.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 78428736 = 336^2 + 8856^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78541633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126988 + ... + 127604.

It is an arithmetic number, because the mean of its divisors is an integer number (1530477).

Almost surely, 2^78541632 is an apocalyptic number.

78541632 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 78541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128560068).

78541632 is an abundant number, since it is smaller than the sum of its proper divisors (178578504).

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

78541632 is a wasteful number, since it uses less digits than its factorization.

78541632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 652 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 78541632 is about 8862.3716915959. The cubic root of 78541632 is about 428.2525658685.

The spelling of 78541632 in words is "seventy-eight million, five hundred forty-one thousand, six hundred thirty-two".