72910530 has 240 divisors, whose sum is σ = 250278336. Its totient is φ = 15059520.

The previous prime is 72910511. The next prime is 72910531. The reversal of 72910530 is 3501927.

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

It is a junction number, because it is equal to n+sod(n) for n = 72910494 and 72910503.

It is not an unprimeable number, because it can be changed into a prime (72910531) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 436507 + ... + 436673.

Almost surely, 2^72910530 is an apocalyptic number.

72910530 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72910530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125139168).

72910530 is an abundant number, since it is smaller than the sum of its proper divisors (177367806).

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

72910530 is a wasteful number, since it uses less digits than its factorization.

72910530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 72910530 is about 8538.7663043323. The cubic root of 72910530 is about 417.7631076084.

The spelling of 72910530 in words is "seventy-two million, nine hundred ten thousand, five hundred thirty".