78735072 has 144 divisors (see below), whose sum is σ = 234638208. Its totient is φ = 23063040.

The previous prime is 78735053. The next prime is 78735077. The reversal of 78735072 is 27053787.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 78735072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78735077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373047 + ... + 373257.

It is an arithmetic number, because the mean of its divisors is an integer number (1629432).

Almost surely, 2^78735072 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 78735072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117319104).

78735072 is an abundant number, since it is smaller than the sum of its proper divisors (155903136).

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

78735072 is a wasteful number, since it uses less digits than its factorization.

78735072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 78735072 is about 8873.2785372713. The cubic root of 78735072 is about 428.6038583714.

The spelling of 78735072 in words is "seventy-eight million, seven hundred thirty-five thousand, seventy-two".