72155020 has 48 divisors (see below), whose sum is σ = 174742848. Its totient is φ = 24514560.

The previous prime is 72154997. The next prime is 72155029. The reversal of 72155020 is 2055127.

It is a super-2 number, since 2×72155020² = 10412693822400800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72154982 and 72155000.

It is not an unprimeable number, because it can be changed into a prime (72155029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13540 + ... + 18100.

It is an arithmetic number, because the mean of its divisors is an integer number (3640476).

Almost surely, 2^72155020 is an apocalyptic number.

72155020 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 72155020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87371424).

72155020 is an abundant number, since it is smaller than the sum of its proper divisors (102587828).

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

72155020 is a wasteful number, since it uses less digits than its factorization.

72155020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 72155020 is about 8494.4111037788. The cubic root of 72155020 is about 416.3151196565.

The spelling of 72155020 in words is "seventy-two million, one hundred fifty-five thousand, twenty".