72652016640 has 704 divisors, whose sum is σ = 278902407168. Its totient is φ = 15792537600.

The previous prime is 72652016639. The next prime is 72652016641. The reversal of 72652016640 is 4661025627.

It is an interprime number because it is at equal distance from previous prime (72652016639) and next prime (72652016641).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72652016641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236651367 + ... + 236651673.

It is an arithmetic number, because the mean of its divisors is an integer number (396168192).

Almost surely, 2^72652016640 is an apocalyptic number.

72652016640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72652016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139451203584).

72652016640 is an abundant number, since it is smaller than the sum of its proper divisors (206250390528).

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

72652016640 is a wasteful number, since it uses less digits than its factorization.

72652016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 72652016640 in words is "seventy-two billion, six hundred fifty-two million, sixteen thousand, six hundred forty".