72980526769920 has 1152 divisors, whose sum is σ = 323118199111680. Its totient is φ = 15153764843520.

The previous prime is 72980526769919. The next prime is 72980526769933. The reversal of 72980526769920 is 2996762508927.

72980526769920 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 0 + 526 + 7 + 6 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3957076219 + ... + 3957094661.

It is an arithmetic number, because the mean of its divisors is an integer number (280484547840).

Almost surely, 2^{72980526769920} is an apocalyptic number.

72980526769920 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 72980526769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161559099555840).

72980526769920 is an abundant number, since it is smaller than the sum of its proper divisors (250137672341760).

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

72980526769920 is a wasteful number, since it uses less digits than its factorization.

72980526769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19978 (or 19958 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 72980526769920 in words is "seventy-two trillion, nine hundred eighty billion, five hundred twenty-six million, seven hundred sixty-nine thousand, nine hundred twenty".