75724740 has 384 divisors, whose sum is σ = 307077120. Its totient is φ = 15054336.

The previous prime is 75724721. The next prime is 75724741. The reversal of 75724740 is 4742757.

It is a happy number.

75724740 is a `hidden beast` number, since 7 + 572 + 47 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75724695 and 75724704.

It is not an unprimeable number, because it can be changed into a prime (75724741) 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 127 ways as a sum of consecutive naturals, for example, 1130187 + ... + 1130253.

It is an arithmetic number, because the mean of its divisors is an integer number (799680).

Almost surely, 2^75724740 is an apocalyptic number.

75724740 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 75724740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153538560).

75724740 is an abundant number, since it is smaller than the sum of its proper divisors (231352380).

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

75724740 is a wasteful number, since it uses less digits than its factorization.

75724740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 75724740 is about 8701.9963226837. The cubic root of 75724740 is about 423.0703569907.

The spelling of 75724740 in words is "seventy-five million, seven hundred twenty-four thousand, seven hundred forty".