72102537024 has 224 divisors, whose sum is σ = 225122451456. Its totient is φ = 19938078720.

The previous prime is 72102536971. The next prime is 72102537043. The reversal of 72102537024 is 42073520127.

It is a tau number, because it is divible by the number of its divisors (224).

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, 6993057 + ... + 7003359.

It is an arithmetic number, because the mean of its divisors is an integer number (1005010944).

Almost surely, 2^72102537024 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 72102537024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112561225728).

72102537024 is an abundant number, since it is smaller than the sum of its proper divisors (153019914432).

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

72102537024 is a wasteful number, since it uses less digits than its factorization.

72102537024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10493 (or 10483 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 72102537024 in words is "seventy-two billion, one hundred two million, five hundred thirty-seven thousand, twenty-four".