72954630 has 144 divisors (see below), whose sum is σ = 224718624. Its totient is φ = 16369920.

The previous prime is 72954613. The next prime is 72954631. The reversal of 72954630 is 3645927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72954631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 312994 + ... + 313226.

It is an arithmetic number, because the mean of its divisors is an integer number (1560546).

Almost surely, 2^72954630 is an apocalyptic number.

72954630 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 72954630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112359312).

72954630 is an abundant number, since it is smaller than the sum of its proper divisors (151763994).

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

72954630 is a wasteful number, since it uses less digits than its factorization.

72954630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72954630 is about 8541.3482542278. The cubic root of 72954630 is about 417.8473187634.

The spelling of 72954630 in words is "seventy-two million, nine hundred fifty-four thousand, six hundred thirty".