73620792 has 256 divisors, whose sum is σ = 255744000. Its totient is φ = 19160064.

The previous prime is 73620737. The next prime is 73620797. The reversal of 73620792 is 29702637.

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 (73620797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1008468 + ... + 1008540.

It is an arithmetic number, because the mean of its divisors is an integer number (999000).

Almost surely, 2^73620792 is an apocalyptic number.

73620792 is a gapful number since it is divisible by the number (72) 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 73620792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127872000).

73620792 is an abundant number, since it is smaller than the sum of its proper divisors (182123208).

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

73620792 is a wasteful number, since it uses less digits than its factorization.

73620792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 73620792 is about 8580.2559402386. The cubic root of 73620792 is about 419.1152805263.

It can be divided in two parts, 736 and 20792, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 73620792 in words is "seventy-three million, six hundred twenty thousand, seven hundred ninety-two".