72646242731040 has 192 divisors, whose sum is σ = 249647148842112. Its totient is φ = 17610628915200.

The previous prime is 72646242731033. The next prime is 72646242731047. The reversal of 72646242731040 is 4013724264627.

It is an interprime number because it is at equal distance from previous prime (72646242731033) and next prime (72646242731047).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (72646242731047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172091430 + ... + 172513050.

It is an arithmetic number, because the mean of its divisors is an integer number (1300245566886).

Almost surely, 2^{72646242731040} is an apocalyptic number.

It is an amenable number.

72646242731040 is an abundant number, since it is smaller than the sum of its proper divisors (177000906111072).

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

72646242731040 is a wasteful number, since it uses less digits than its factorization.

72646242731040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454283 (or 454275 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 48.

Adding to 72646242731040 its reverse (4013724264627), we get a palindrome (76659966995667).

The spelling of 72646242731040 in words is "seventy-two trillion, six hundred forty-six billion, two hundred forty-two million, seven hundred thirty-one thousand, forty".