78994272 has 96 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 22560384.

The previous prime is 78994247. The next prime is 78994277. The reversal of 78994272 is 27249987.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78994277) by changing a digit.

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, 31729 + ... + 34127.

It is an arithmetic number, because the mean of its divisors is an integer number (2520000).

Almost surely, 2^78994272 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 78994272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

78994272 is an abundant number, since it is smaller than the sum of its proper divisors (162925728).

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

78994272 is a wasteful number, since it uses less digits than its factorization.

78994272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2411 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 78994272 is about 8887.8721862997. The cubic root of 78994272 is about 429.0736720157.

The spelling of 78994272 in words is "seventy-eight million, nine hundred ninety-four thousand, two hundred seventy-two".