72509048 has 32 divisors (see below), whose sum is σ = 144460800. Its totient is φ = 34054272.

The previous prime is 72509027. The next prime is 72509069. The reversal of 72509048 is 84090527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72509027) and next prime (72509069).

It is a junction number, because it is equal to n+sod(n) for n = 72508999 and 72509017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4361 + ... + 12807.

It is an arithmetic number, because the mean of its divisors is an integer number (4514400).

Almost surely, 2^72509048 is an apocalyptic number.

It is an amenable number.

72509048 is a deficient number, since it is larger than the sum of its proper divisors (71951752).

72509048 is a wasteful number, since it uses less digits than its factorization.

72509048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8519 (or 8515 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 72509048 is about 8515.2244832418. The cubic root of 72509048 is about 416.9948913145.

The spelling of 72509048 in words is "seventy-two million, five hundred nine thousand, forty-eight".