72394960 has 40 divisors (see below), whose sum is σ = 183622176. Its totient is φ = 26325120.

The previous prime is 72394913. The next prime is 72394969. The reversal of 72394960 is 6949327.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72394969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40254 + ... + 42013.

Almost surely, 2^72394960 is an apocalyptic number.

It is an amenable number.

72394960 is an abundant number, since it is smaller than the sum of its proper divisors (111227216).

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

72394960 is a wasteful number, since it uses less digits than its factorization.

72394960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82291 (or 82285 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 72394960 is about 8508.5227860070. The cubic root of 72394960 is about 416.7760722483.

The spelling of 72394960 in words is "seventy-two million, three hundred ninety-four thousand, nine hundred sixty".