72416640 has 64 divisors (see below), whose sum is σ = 230834160. Its totient is φ = 19310592.

The previous prime is 72416639. The next prime is 72416647. The reversal of 72416640 is 4661427.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 72416598 and 72416607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16939 + ... + 20778.

Almost surely, 2^72416640 is an apocalyptic number.

It is an amenable number.

72416640 is an abundant number, since it is smaller than the sum of its proper divisors (158417520).

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

72416640 is a wasteful number, since it uses less digits than its factorization.

72416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37739 (or 37727 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72416640 is about 8509.7967073250. The cubic root of 72416640 is about 416.8176718450.

It can be divided in two parts, 724166 and 40, that added together give a triangular number (724206 = T₁₂₀₃).

The spelling of 72416640 in words is "seventy-two million, four hundred sixteen thousand, six hundred forty".