72465747 has 16 divisors (see below), whose sum is σ = 104042880. Its totient is φ = 44696192.

The previous prime is 72465733. The next prime is 72465761. The reversal of 72465747 is 74756427.

It is an interprime number because it is at equal distance from previous prime (72465733) and next prime (72465761).

It is a cyclic number.

It is not a de Polignac number, because 72465747 - 2⁶ = 72465683 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 72465699 and 72465708.

It is not an unprimeable number, because it can be changed into a prime (72465797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9033 + ... + 15050.

It is an arithmetic number, because the mean of its divisors is an integer number (6502680).

Almost surely, 2^72465747 is an apocalyptic number.

72465747 is a deficient number, since it is larger than the sum of its proper divisors (31577133).

72465747 is a wasteful number, since it uses less digits than its factorization.

72465747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24162.

The product of its digits is 329280, while the sum is 42.

The square root of 72465747 is about 8512.6815399144. The cubic root of 72465747 is about 416.9118676930.

The spelling of 72465747 in words is "seventy-two million, four hundred sixty-five thousand, seven hundred forty-seven".