73825640 has 64 divisors (see below), whose sum is σ = 199843200. Its totient is φ = 23977728.

The previous prime is 73825637. The next prime is 73825643. The reversal of 73825640 is 4652837.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73825637) and next prime (73825643).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 73825640.

It is not an unprimeable number, because it can be changed into a prime (73825643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1619 + ... + 12258.

It is an arithmetic number, because the mean of its divisors is an integer number (3122550).

Almost surely, 2^73825640 is an apocalyptic number.

73825640 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 73825640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99921600).

73825640 is an abundant number, since it is smaller than the sum of its proper divisors (126017560).

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

73825640 is a wasteful number, since it uses less digits than its factorization.

73825640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13914 (or 13910 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 73825640 is about 8592.1848211034. The cubic root of 73825640 is about 419.5036464476.

The spelling of 73825640 in words is "seventy-three million, eight hundred twenty-five thousand, six hundred forty".