72077026652696 has 64 divisors (see below), whose sum is σ = 148756920439680. Its totient is φ = 32532202667520.

The previous prime is 72077026652563. The next prime is 72077026652759. The reversal of 72077026652696 is 69625662077027.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86186 + ... + 12006726.

It is an arithmetic number, because the mean of its divisors is an integer number (2324326881870).

Almost surely, 2^{72077026652696} 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 72077026652696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74378460219840).

72077026652696 is an abundant number, since it is smaller than the sum of its proper divisors (76679893786984).

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

72077026652696 is a wasteful number, since it uses less digits than its factorization.

72077026652696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11921844 (or 11921840 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 65.

Adding to 72077026652696 its sum of digits (65), we get a square (72077026652761 = 8489819²).

The spelling of 72077026652696 in words is "seventy-two trillion, seventy-seven billion, twenty-six million, six hundred fifty-two thousand, six hundred ninety-six".