72411404940 has 72 divisors (see below), whose sum is σ = 251026208160. Its totient is φ = 16551177984.

The previous prime is 72411404939. The next prime is 72411404941. The reversal of 72411404940 is 4940411427.

72411404940 is a `hidden beast` number, since 7 + 24 + 1 + 140 + 494 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72411404939) and next prime (72411404941).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72411404895 and 72411404904.

It is not an unprimeable number, because it can be changed into a prime (72411404941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28733425 + ... + 28735944.

Almost surely, 2^72411404940 is an apocalyptic number.

72411404940 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72411404940 is an abundant number, since it is smaller than the sum of its proper divisors (178614803220).

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

72411404940 is a wasteful number, since it uses less digits than its factorization.

72411404940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57469391 (or 57469386 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 72411404940 in words is "seventy-two billion, four hundred eleven million, four hundred four thousand, nine hundred forty".