74723040 has 288 divisors, whose sum is σ = 305091360. Its totient is φ = 17031168.

The previous prime is 74723039. The next prime is 74723059. The reversal of 74723040 is 4032747.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 74722995 and 74723013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211504 + ... + 211856.

It is an arithmetic number, because the mean of its divisors is an integer number (1059345).

Almost surely, 2^74723040 is an apocalyptic number.

74723040 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 74723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152545680).

74723040 is an abundant number, since it is smaller than the sum of its proper divisors (230368320).

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

74723040 is a wasteful number, since it uses less digits than its factorization.

74723040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 74723040 is about 8644.2489552303. The cubic root of 74723040 is about 421.1965876624.

Adding to 74723040 its reverse (4032747), we get a palindrome (78755787).

The spelling of 74723040 in words is "seventy-four million, seven hundred twenty-three thousand, forty".