78565032 has 192 divisors, whose sum is σ = 273873600. Its totient is φ = 20684160.

The previous prime is 78565021. The next prime is 78565051. The reversal of 78565032 is 23056587.

It is a super-2 number, since 2×78565032² = 12344928506322048, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137307 + ... + 137877.

It is an arithmetic number, because the mean of its divisors is an integer number (1426425).

Almost surely, 2^78565032 is an apocalyptic number.

78565032 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 78565032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136936800).

78565032 is an abundant number, since it is smaller than the sum of its proper divisors (195308568).

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

78565032 is a wasteful number, since it uses less digits than its factorization.

78565032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 78565032 is about 8863.6917816449. The cubic root of 78565032 is about 428.2950915743.

The spelling of 78565032 in words is "seventy-eight million, five hundred sixty-five thousand, thirty-two".