72621792 has 48 divisors (see below), whose sum is σ = 211816080. Its totient is φ = 24206976.

The previous prime is 72621761. The next prime is 72621793. The reversal of 72621792 is 29712627.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72621793) 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 7 ways as a sum of consecutive naturals, for example, 41163 + ... + 42890.

It is an arithmetic number, because the mean of its divisors is an integer number (4412835).

Almost surely, 2^72621792 is an apocalyptic number.

72621792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72621792 is an abundant number, since it is smaller than the sum of its proper divisors (139194288).

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

72621792 is a wasteful number, since it uses less digits than its factorization.

72621792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84072 (or 84058 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 72621792 is about 8521.8420543918. The cubic root of 72621792 is about 417.2109072336.

The spelling of 72621792 in words is "seventy-two million, six hundred twenty-one thousand, seven hundred ninety-two".