74978144 has 48 divisors (see below), whose sum is σ = 151683840. Its totient is φ = 36470400.

The previous prime is 74978131. The next prime is 74978149. The reversal of 74978144 is 44187947.

It is a junction number, because it is equal to n+sod(n) for n = 74978095 and 74978104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74978149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284957 + ... + 285219.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 2^74978144 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 74978144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

74978144 is an abundant number, since it is smaller than the sum of its proper divisors (76705696).

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

74978144 is a wasteful number, since it uses less digits than its factorization.

74978144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its digits is 225792, while the sum is 44.

The square root of 74978144 is about 8658.9920891522. The cubic root of 74978144 is about 421.6753640836.

The spelling of 74978144 in words is "seventy-four million, nine hundred seventy-eight thousand, one hundred forty-four".