72504649 has 8 divisors (see below), whose sum is σ = 82940480. Its totient is φ = 62088336.

The previous prime is 72504631. The next prime is 72504667. The reversal of 72504649 is 94640527.

It is an interprime number because it is at equal distance from previous prime (72504631) and next prime (72504667).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72504649 - 2⁵ = 72504617 is a prime.

It is a super-2 number, since 2×72504649² = 10513848253226402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72504049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4222 + ... + 12760.

It is an arithmetic number, because the mean of its divisors is an integer number (10367560).

Almost surely, 2^72504649 is an apocalyptic number.

It is an amenable number.

72504649 is a deficient number, since it is larger than the sum of its proper divisors (10435831).

72504649 is a wasteful number, since it uses less digits than its factorization.

72504649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9759.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 72504649 is about 8514.9661772669. The cubic root of 72504649 is about 416.9864583548.

It can be divided in two parts, 72504 and 649, that added together give a triangular number (73153 = T₃₈₂).

The spelling of 72504649 in words is "seventy-two million, five hundred four thousand, six hundred forty-nine".