72960069 has 48 divisors (see below), whose sum is σ = 123772992. Its totient is φ = 37884672.

The previous prime is 72960059. The next prime is 72960079. The reversal of 72960069 is 96006927.

It is an interprime number because it is at equal distance from previous prime (72960059) and next prime (72960079).

It is not a de Polignac number, because 72960069 - 2⁴ = 72960053 is a prime.

It is a super-2 number, since 2×72960069² = 10646343336969522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72960059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139242 + ... + 139764.

It is an arithmetic number, because the mean of its divisors is an integer number (2578604).

Almost surely, 2^72960069 is an apocalyptic number.

It is an amenable number.

72960069 is a deficient number, since it is larger than the sum of its proper divisors (50812923).

72960069 is a wasteful number, since it uses less digits than its factorization.

72960069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 72960069 is about 8541.6666406504. Note that the first 4 decimals coincide. The cubic root of 72960069 is about 417.8577024548.

The spelling of 72960069 in words is "seventy-two million, nine hundred sixty thousand, sixty-nine".