73653480 has 96 divisors (see below), whose sum is σ = 241698600. Its totient is φ = 19450368.

The previous prime is 73653479. The next prime is 73653487. The reversal of 73653480 is 8435637.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67272804 + 6380676 = 8202^2 + 2526^2 .

It is a super-2 number, since 2×73653480² = 10849670232220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (73653487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38302 + ... + 40178.

Almost surely, 2^73653480 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 73653480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120849300).

73653480 is an abundant number, since it is smaller than the sum of its proper divisors (168045120).

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

73653480 is a wasteful number, since it uses less digits than its factorization.

73653480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 73653480 is about 8582.1605671299. The cubic root of 73653480 is about 419.1773011086.

The spelling of 73653480 in words is "seventy-three million, six hundred fifty-three thousand, four hundred eighty".