73514000 has 160 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 24499200.

The previous prime is 73513987. The next prime is 73514009. The reversal of 73514000 is 41537.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (73514009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825956 + ... + 826044.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^73514000 is an apocalyptic number.

73514000 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 73514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

73514000 is an abundant number, since it is smaller than the sum of its proper divisors (135401200).

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

73514000 is a wasteful number, since it uses less digits than its factorization.

73514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 73514000 is about 8574.0305574450. The cubic root of 73514000 is about 418.9125306560.

Adding to 73514000 its reverse (41537), we get a palindrome (73555537).

The spelling of 73514000 in words is "seventy-three million, five hundred fourteen thousand".