72277090037880 has 2048 divisors, whose sum is σ = 310137197690880. Its totient is φ = 13033806888960.

The previous prime is 72277090037869. The next prime is 72277090037917. The reversal of 72277090037880 is 8873009077227.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7015144809 + ... + 7015155111.

It is an arithmetic number, because the mean of its divisors is an integer number (151434178560).

Almost surely, 2^{72277090037880} is an apocalyptic number.

72277090037880 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 72277090037880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155068598845440).

72277090037880 is an abundant number, since it is smaller than the sum of its proper divisors (237860107653000).

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

72277090037880 is a wasteful number, since it uses less digits than its factorization.

72277090037880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 60.

The spelling of 72277090037880 in words is "seventy-two trillion, two hundred seventy-seven billion, ninety million, thirty-seven thousand, eight hundred eighty".