72525858206424 has 512 divisors, whose sum is σ = 222261166080000. Its totient is φ = 19277077248000.

The previous prime is 72525858206419. The next prime is 72525858206429. The reversal of 72525858206424 is 42460285852527.

It is an interprime number because it is at equal distance from previous prime (72525858206419) and next prime (72525858206429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72525858206429) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6135334434 + ... + 6135346254.

It is an arithmetic number, because the mean of its divisors is an integer number (434103840000).

Almost surely, 2^{72525858206424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72525858206424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111130583040000).

72525858206424 is an abundant number, since it is smaller than the sum of its proper divisors (149735307873576).

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

72525858206424 is a wasteful number, since it uses less digits than its factorization.

72525858206424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12239 (or 12235 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 60.

The spelling of 72525858206424 in words is "seventy-two trillion, five hundred twenty-five billion, eight hundred fifty-eight million, two hundred six thousand, four hundred twenty-four".