532370786292072 has 1920 divisors, whose sum is σ = 2045634962595840. Its totient is φ = 127636961034240.

The previous prime is 532370786291963. The next prime is 532370786292073. The reversal of 532370786292072 is 270292687073235.

532370786292072 is a `hidden beast` number, since 5 + 32 + 370 + 7 + 8 + 6 + 29 + 207 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (532370786292073) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 128997038473 + ... + 128997042599.

It is an arithmetic number, because the mean of its divisors is an integer number (1065434876352).

Almost surely, 2^{532370786292072} is an apocalyptic number.

532370786292072 is a gapful number since it is divisible by the number (52) 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 532370786292072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022817481297920).

532370786292072 is an abundant number, since it is smaller than the sum of its proper divisors (1513264176303768).

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

532370786292072 is a wasteful number, since it uses less digits than its factorization.

532370786292072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 532370786292072 in words is "five hundred thirty-two trillion, three hundred seventy billion, seven hundred eighty-six million, two hundred ninety-two thousand, seventy-two".