100072620 has 144 divisors (see below), whose sum is σ = 330876000. Its totient is φ = 24385536.

The previous prime is 100072613. The next prime is 100072627. The reversal of 100072620 is 26270001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100072613) and next prime (100072627).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100072593 and 100072602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98676 + ... + 99684.

It is an arithmetic number, because the mean of its divisors is an integer number (2297750).

Almost surely, 2^100072620 is an apocalyptic number.

100072620 is a gapful number since it is divisible by the number (10) 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 100072620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165438000).

100072620 is an abundant number, since it is smaller than the sum of its proper divisors (230803380).

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

100072620 is a wasteful number, since it uses less digits than its factorization.

100072620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100072620 is about 10003.6303410312. The cubic root of 100072620 is about 464.2712135680.

The spelling of 100072620 in words is "one hundred million, seventy-two thousand, six hundred twenty".