72506280 has 384 divisors, whose sum is σ = 295488000. Its totient is φ = 14031360.

The previous prime is 72506267. The next prime is 72506333. The reversal of 72506280 is 8260527.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1228891 + ... + 1228949.

It is an arithmetic number, because the mean of its divisors is an integer number (769500).

Almost surely, 2^72506280 is an apocalyptic number.

72506280 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 72506280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744000).

72506280 is an abundant number, since it is smaller than the sum of its proper divisors (222981720).

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

72506280 is a wasteful number, since it uses less digits than its factorization.

72506280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 72506280 is about 8515.0619492755. The cubic root of 72506280 is about 416.9895850500.

It can be divided in two parts, 7250 and 6280, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 72506280 in words is "seventy-two million, five hundred six thousand, two hundred eighty".