78214032 has 160 divisors (see below), whose sum is σ = 254844800. Its totient is φ = 22768128.

The previous prime is 78214027. The next prime is 78214043. The reversal of 78214032 is 23041287.

It is a super-2 number, since 2×78214032² = 12234869603394048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 78213987 and 78214005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106338 + ... + 107070.

It is an arithmetic number, because the mean of its divisors is an integer number (1592780).

Almost surely, 2^78214032 is an apocalyptic number.

78214032 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 78214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127422400).

78214032 is an abundant number, since it is smaller than the sum of its proper divisors (176630768).

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

78214032 is a wasteful number, since it uses less digits than its factorization.

78214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78214032 is about 8843.8697412388. The cubic root of 78214032 is about 427.6563171041.

The spelling of 78214032 in words is "seventy-eight million, two hundred fourteen thousand, thirty-two".