72037652279040 has 2160 divisors, whose sum is σ = 306256214325600. Its totient is φ = 16117752397824.

The previous prime is 72037652279029. The next prime is 72037652279101. The reversal of 72037652279040 is 4097225673027.

It is a happy number.

72037652279040 is a `hidden beast` number, since 7 + 2 + 0 + 3 + 7 + 6 + 522 + 79 + 0 + 40 = 666.

72037652279040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 48379886616 + ... + 48379888104.

It is an arithmetic number, because the mean of its divisors is an integer number (141785284410).

Almost surely, 2^{72037652279040} is an apocalyptic number.

72037652279040 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 72037652279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153128107162800).

72037652279040 is an abundant number, since it is smaller than the sum of its proper divisors (234218562046560).

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

72037652279040 is a wasteful number, since it uses less digits than its factorization.

72037652279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 72037652279040 in words is "seventy-two trillion, thirty-seven billion, six hundred fifty-two million, two hundred seventy-nine thousand, forty".