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72402420 = 22352335179
BaseRepresentation
bin1000101000011…
…00010111110100
312001020102110010
410110030113310
5122013334140
611103500220
71536260526
oct424142764
9161212403
1072402420
1137962012
12202b7670
131200018c
149889a16
156552880
hex450c5f4

72402420 has 48 divisors (see below), whose sum is σ = 203636160. Its totient is φ = 19220736.

The previous prime is 72402383. The next prime is 72402427. The reversal of 72402420 is 2420427.

It is a super-2 number, since 2×724024202 = 10484220843712800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72402427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11391 + ... + 16569.

It is an arithmetic number, because the mean of its divisors is an integer number (4242420).

Almost surely, 272402420 is an apocalyptic number.

It is an amenable number.

72402420 is an abundant number, since it is smaller than the sum of its proper divisors (131233740).

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

72402420 is a wasteful number, since it uses less digits than its factorization.

72402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 72402420 is about 8508.9611586844. The cubic root of 72402420 is about 416.7903874378.

Adding to 72402420 its reverse (2420427), we get a palindrome (74822847).

The spelling of 72402420 in words is "seventy-two million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 233 466 699 932 1165 1398 2330 2796 3495 4660 5179 6990 10358 13980 15537 20716 25895 31074 51790 62148 77685 103580 155370 310740 1206707 2413414 3620121 4826828 6033535 7240242 12067070 14480484 18100605 24134140 36201210 72402420