78305472 has 84 divisors (see below), whose sum is σ = 256525776. Its totient is φ = 22371840.

The previous prime is 78305467. The next prime is 78305503. The reversal of 78305472 is 27450387.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×78305472² = 12263493890285568, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5679 + ... + 13742.

Almost surely, 2^78305472 is an apocalyptic number.

78305472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78305472 is an abundant number, since it is smaller than the sum of its proper divisors (178220304).

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

78305472 is a wasteful number, since it uses less digits than its factorization.

78305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19446 (or 19433 counting only the distinct ones).

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

The square root of 78305472 is about 8849.0379138074. The cubic root of 78305472 is about 427.8229098213.

It can be divided in two parts, 783054 and 72, that added together give a triangular number (783126 = T₁₂₅₁).

The spelling of 78305472 in words is "seventy-eight million, three hundred five thousand, four hundred seventy-two".