78405072 has 80 divisors (see below), whose sum is σ = 210230592. Its totient is φ = 25159680.

The previous prime is 78405059. The next prime is 78405083. The reversal of 78405072 is 27050487.

It is a super-2 number, since 2×78405072² = 12294710630650368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232488 + ... + 232824.

Almost surely, 2^78405072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78405072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105115296).

78405072 is an abundant number, since it is smaller than the sum of its proper divisors (131825520).

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

78405072 is a wasteful number, since it uses less digits than its factorization.

78405072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 78405072 is about 8854.6638558446. The cubic root of 78405072 is about 428.0042215789.

The spelling of 78405072 in words is "seventy-eight million, four hundred five thousand, seventy-two".