72154240878720 has 3072 divisors, whose sum is σ = 324251535974400. Its totient is φ = 13346304491520.

The previous prime is 72154240878701. The next prime is 72154240878799. The reversal of 72154240878720 is 2787804245127.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 87672224229 + ... + 87672225051.

It is an arithmetic number, because the mean of its divisors is an integer number (105550630200).

Almost surely, 2^{72154240878720} is an apocalyptic number.

72154240878720 is a gapful number since it is divisible by the number (70) 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 72154240878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162125767987200).

72154240878720 is an abundant number, since it is smaller than the sum of its proper divisors (252097295095680).

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

72154240878720 is a wasteful number, since it uses less digits than its factorization.

72154240878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 14049280, while the sum is 57.

The spelling of 72154240878720 in words is "seventy-two trillion, one hundred fifty-four billion, two hundred forty million, eight hundred seventy-eight thousand, seven hundred twenty".