72729720 has 384 divisors, whose sum is σ = 299520000. Its totient is φ = 15240960.

The previous prime is 72729707. The next prime is 72729733. The reversal of 72729720 is 2792727.

It is an interprime number because it is at equal distance from previous prime (72729707) and next prime (72729733).

It is a super-2 number, since 2×72729720² = 10579224342556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

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, 2346105 + ... + 2346135.

It is an arithmetic number, because the mean of its divisors is an integer number (780000).

Almost surely, 2^72729720 is an apocalyptic number.

72729720 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 72729720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760000).

72729720 is an abundant number, since it is smaller than the sum of its proper divisors (226790280).

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

72729720 is a wasteful number, since it uses less digits than its factorization.

72729720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 72729720 is about 8528.1721370995. The cubic root of 72729720 is about 417.4174864124.

The spelling of 72729720 in words is "seventy-two million, seven hundred twenty-nine thousand, seven hundred twenty".