72912752640 has 1872 divisors, whose sum is σ = 342612885888. Its totient is φ = 14714929152.

The previous prime is 72912752629. The next prime is 72912752651. The reversal of 72912752640 is 4625721927.

72912752640 is a `hidden beast` number, since 72 + 9 + 12 + 7 + 526 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (72912752629) and next prime (72912752651).

It is a tau number, because it is divible by the number of its divisors (1872).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3170119669 + ... + 3170119691.

It is an arithmetic number, because the mean of its divisors is an integer number (183019704).

Almost surely, 2^72912752640 is an apocalyptic number.

72912752640 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 72912752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171306442944).

72912752640 is an abundant number, since it is smaller than the sum of its proper divisors (269700133248).

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

72912752640 is a wasteful number, since it uses less digits than its factorization.

72912752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

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

The spelling of 72912752640 in words is "seventy-two billion, nine hundred twelve million, seven hundred fifty-two thousand, six hundred forty".