72253725637440 has 224 divisors, whose sum is σ = 230783780174976. Its totient is φ = 19151956172800.

The previous prime is 72253725637393. The next prime is 72253725637463. The reversal of 72253725637440 is 4473652735227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 771062590 + ... + 771156290.

It is an arithmetic number, because the mean of its divisors is an integer number (1030284732924).

Almost surely, 2^{72253725637440} 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 72253725637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115391890087488).

72253725637440 is an abundant number, since it is smaller than the sum of its proper divisors (158530054537536).

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

72253725637440 is a wasteful number, since it uses less digits than its factorization.

72253725637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98537 (or 98527 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 57.

The spelling of 72253725637440 in words is "seventy-two trillion, two hundred fifty-three billion, seven hundred twenty-five million, six hundred thirty-seven thousand, four hundred forty".