73257660 has 144 divisors (see below), whose sum is σ = 258987456. Its totient is φ = 16413696.

The previous prime is 73257649. The next prime is 73257661. The reversal of 73257660 is 6675237.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73257661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66232 + ... + 67328.

It is an arithmetic number, because the mean of its divisors is an integer number (1798524).

Almost surely, 2^73257660 is an apocalyptic number.

73257660 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 73257660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129493728).

73257660 is an abundant number, since it is smaller than the sum of its proper divisors (185729796).

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

73257660 is a wasteful number, since it uses less digits than its factorization.

73257660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 73257660 is about 8559.0688745914. The cubic root of 73257660 is about 418.4250539174.

The spelling of 73257660 in words is "seventy-three million, two hundred fifty-seven thousand, six hundred sixty".