74812920 has 384 divisors, whose sum is σ = 303575040. Its totient is φ = 14376960.

The previous prime is 74812919. The next prime is 74812931. The reversal of 74812920 is 2921847.

It is a happy number.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2413305 + ... + 2413335.

It is an arithmetic number, because the mean of its divisors is an integer number (790560).

Almost surely, 2^74812920 is an apocalyptic number.

74812920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74812920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151787520).

74812920 is an abundant number, since it is smaller than the sum of its proper divisors (228762120).

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

74812920 is a wasteful number, since it uses less digits than its factorization.

74812920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 74812920 is about 8649.4462250482. The cubic root of 74812920 is about 421.3653976248.

It can be divided in two parts, 7481 and 2920, that added together give a palindrome (10401).

The spelling of 74812920 in words is "seventy-four million, eight hundred twelve thousand, nine hundred twenty".