72417996 has 48 divisors (see below), whose sum is σ = 214574080. Its totient is φ = 20690640.

The previous prime is 72417967. The next prime is 72417997. The reversal of 72417996 is 69971427.

It is a super-2 number, since 2×72417996² = 10488732289312032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72417997) 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, 47140 + ... + 48651.

Almost surely, 2^72417996 is an apocalyptic number.

It is an amenable number.

72417996 is an abundant number, since it is smaller than the sum of its proper divisors (142156084).

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

72417996 is a wasteful number, since it uses less digits than its factorization.

72417996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95811 (or 95803 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 72417996 is about 8509.8763798307. The cubic root of 72417996 is about 416.8202734627.

The spelling of 72417996 in words is "seventy-two million, four hundred seventeen thousand, nine hundred ninety-six".