72649480 has 16 divisors (see below), whose sum is σ = 163461420. Its totient is φ = 29059776.

The previous prime is 72649471. The next prime is 72649513. The reversal of 72649480 is 8494627.

It can be written as a sum of positive squares in 2 ways, for example, as 69122596 + 3526884 = 8314^2 + 1878^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 1816237 = 72649480 / (7 + 2 + 6 + 4 + 9 + 4 + 8 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 908079 + ... + 908158.

Almost surely, 2^72649480 is an apocalyptic number.

It is an amenable number.

72649480 is an abundant number, since it is smaller than the sum of its proper divisors (90811940).

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

72649480 is a wasteful number, since it uses less digits than its factorization.

72649480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816248 (or 1816244 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 72649480 is about 8523.4664309775. The cubic root of 72649480 is about 417.2639228528.

The spelling of 72649480 in words is "seventy-two million, six hundred forty-nine thousand, four hundred eighty".