78293472 has 96 divisors (see below), whose sum is σ = 218453760. Its totient is φ = 24499200.

The previous prime is 78293461. The next prime is 78293489. The reversal of 78293472 is 27439287.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×78293472² = 12259735515629568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129972 + ... + 130572.

It is an arithmetic number, because the mean of its divisors is an integer number (2275560).

Almost surely, 2^78293472 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 78293472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109226880).

78293472 is an abundant number, since it is smaller than the sum of its proper divisors (140160288).

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

78293472 is a wasteful number, since it uses less digits than its factorization.

78293472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 78293472 is about 8848.3598480170. The cubic root of 78293472 is about 427.8010546556.

The spelling of 78293472 in words is "seventy-eight million, two hundred ninety-three thousand, four hundred seventy-two".