73254560 has 48 divisors (see below), whose sum is σ = 173687976. Its totient is φ = 29196288.

The previous prime is 73254541. The next prime is 73254569. The reversal of 73254560 is 6545237.

73254560 = 268² + 269² + ... + 620².

It can be written as a sum of positive squares in 4 ways, for example, as 71707024 + 1547536 = 8468^2 + 1244^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (73254569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55832 + ... + 57128.

Almost surely, 2^73254560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86843988).

73254560 is an abundant number, since it is smaller than the sum of its proper divisors (100433416).

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

73254560 is a wasteful number, since it uses less digits than its factorization.

73254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 73254560 is about 8558.8877782104. The cubic root of 73254560 is about 418.4191517543.

Adding to 73254560 its reverse (6545237), we get a palindrome (79799797).

The spelling of 73254560 in words is "seventy-three million, two hundred fifty-four thousand, five hundred sixty".