72701820 has 192 divisors, whose sum is σ = 241274880. Its totient is φ = 18144000.

The previous prime is 72701779. The next prime is 72701831. The reversal of 72701820 is 2810727.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719770 + ... + 719870.

It is an arithmetic number, because the mean of its divisors is an integer number (1256640).

Almost surely, 2^72701820 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 72701820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120637440).

72701820 is an abundant number, since it is smaller than the sum of its proper divisors (168573060).

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

72701820 is a wasteful number, since it uses less digits than its factorization.

72701820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72701820 is about 8526.5362252206. The cubic root of 72701820 is about 417.3641041208.

The spelling of 72701820 in words is "seventy-two million, seven hundred one thousand, eight hundred twenty".