72151676640 has 288 divisors, whose sum is σ = 263577839616. Its totient is φ = 18619476480.

The previous prime is 72151676627. The next prime is 72151676687. The reversal of 72151676640 is 4667615127.

72151676640 is a `hidden beast` number, since 7 + 2 + 1 + 516 + 76 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175349 + ... + 1235211.

It is an arithmetic number, because the mean of its divisors is an integer number (915200832).

Almost surely, 2^72151676640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72151676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131788919808).

72151676640 is an abundant number, since it is smaller than the sum of its proper divisors (191426162976).

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

72151676640 is a wasteful number, since it uses less digits than its factorization.

72151676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59924 (or 59904 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 72151676640 in words is "seventy-two billion, one hundred fifty-one million, six hundred seventy-six thousand, six hundred forty".