715248169272 has 576 divisors, whose sum is σ = 2617052256000. Its totient is φ = 178697705472.

The previous prime is 715248169243. The next prime is 715248169277. The reversal of 715248169272 is 272961842517.

715248169272 is a `hidden beast` number, since 7 + 1 + 5 + 2 + 481 + 6 + 92 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715248169277) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 43687104 + ... + 43703472.

It is an arithmetic number, because the mean of its divisors is an integer number (4543493500).

Almost surely, 2^715248169272 is an apocalyptic number.

715248169272 is a gapful number since it is divisible by the number (72) 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 715248169272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308526128000).

715248169272 is an abundant number, since it is smaller than the sum of its proper divisors (1901804086728).

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

715248169272 is a wasteful number, since it uses less digits than its factorization.

715248169272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16442 (or 16413 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 715248169272 in words is "seven hundred fifteen billion, two hundred forty-eight million, one hundred sixty-nine thousand, two hundred seventy-two".