72026147531520 has 4320 divisors, whose sum is σ = 346903844474880. Its totient is φ = 13918507499520.

The previous prime is 72026147531419. The next prime is 72026147531549. The reversal of 72026147531520 is 2513574162027.

72026147531520 is a `hidden beast` number, since 7 + 2 + 0 + 2 + 61 + 4 + 7 + 531 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 72242875662 + ... + 72242876658.

Almost surely, 2^{72026147531520} is an apocalyptic number.

72026147531520 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 72026147531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173451922237440).

72026147531520 is an abundant number, since it is smaller than the sum of its proper divisors (274877696943360).

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

72026147531520 is a wasteful number, since it uses less digits than its factorization.

72026147531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 72026147531520 in words is "seventy-two trillion, twenty-six billion, one hundred forty-seven million, five hundred thirty-one thousand, five hundred twenty".