72197040 has 40 divisors (see below), whose sum is σ = 223811568. Its totient is φ = 19252480.

The previous prime is 72197033. The next prime is 72197051. The reversal of 72197040 is 4079127.

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 (30) 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 72196989 and 72197007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150171 + ... + 150650.

Almost surely, 2^72197040 is an apocalyptic number.

It is an amenable number.

72197040 is an abundant number, since it is smaller than the sum of its proper divisors (151614528).

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

72197040 is a wasteful number, since it uses less digits than its factorization.

72197040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300837 (or 300831 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 72197040 is about 8496.8841347873. The cubic root of 72197040 is about 416.3959186852.

The spelling of 72197040 in words is "seventy-two million, one hundred ninety-seven thousand, forty".