78285672 has 24 divisors (see below), whose sum is σ = 212023890. Its totient is φ = 26095200.

The previous prime is 78285607. The next prime is 78285677. The reversal of 78285672 is 27658287.

78285672 is a `hidden beast` number, since 7 + 82 + 8 + 567 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77686596 + 599076 = 8814^2 + 774^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×78285672² = 12257292880983168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78285677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 543579 + ... + 543722.

Almost surely, 2^78285672 is an apocalyptic number.

78285672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78285672 is an abundant number, since it is smaller than the sum of its proper divisors (133738218).

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

78285672 is a wasteful number, since it uses less digits than its factorization.

78285672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087313 (or 1087306 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 78285672 is about 8847.9190773876. The cubic root of 78285672 is about 427.7868476004.

The spelling of 78285672 in words is "seventy-eight million, two hundred eighty-five thousand, six hundred seventy-two".